which of the following pairs of functions are inverses of each other​

Which Of The Following Pairs Of Functions Are Inverses Of Each Other

Answers

Answer 1

Answer:

c would be the answer you are looking for and please mark brainliest

Step-by-step explanation:

Answer 2

Options A and D have functions that are inverses of each other.

What is an inverse function?

The inverse function is defined as a function obtained by reversing the given function.

To check whether two functions are inverses of each other, we need to check if the composition of the functions in both orders results in the input value.

Here, we need to check if f(g(x))=x and g(f(x))=x for all values of x in their domains.

A. f(x) = 7/(x-9) and g(x) = (x+9)/7

f(g(x)) = f((x+9)/7) = 7/((x+9)/7 - 9) = 7/(x/7) = x, so f and g are inverses of each other.

B. f(x) = x/6 + 8 and g(x) = 6x - 8

f(g(x)) = f(6x-8) = (6x-8)/6 + 8 = x/6 + 8/6 = x/6 + 4/3, which is not equal to x. Therefore, f and g are not inverses of each other.

C. f(x) = 2 + ∛x and g(x) = 2 - x³

f(g(x)) = f(2 - x³) = 2 + ∛(2 - x³) ≠ x, so f and g are not inverses of each other.

D. f(x) = 5x - 11 and g(x) = (x+11)/5

f(g(x)) = f((x+11)/5) = 5((x+11)/5) - 11 = x, and g(f(x)) = g(5x-11) = (5x-11+11)/5 = x/5, so f and g are inverses of each other.

Therefore, only options A and D have functions that are inverses of each other.

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Related Questions

Parallel lines have the same slope.

True

False

Answers

Answer:

True

Parrellel lines never intersect and they go on and on forever. So, they have the same slope.

Hope this Helps!

Answer:

The statement is true.

Parallel line have same slope.

What is the answer? I don’t get it

Answers

I think it’s B for sure!!!

What is the y=Mx+b of this equation

Answers

Answer:

[tex]y = - 6x - 8[/tex]

Step-by-step explanation:

The y-intercept is where the line itersects the y-axis, which is the dark vertical line. This is -8 represented as the constant in the equation.

To find the slope, find the rise over run. Every time the line goes over 1 it goes down 6, so the slope would be -6.

A six-sided die is rolled. What is the probability of rolling a three or six

Answers

Answer:

The probability is 1/6 for each side. Each side has a 1/6 chance of getting rolled.

It would be 2/6 if your trying to get either 3 or 6 because there's two sides you can get which would equal 2/6.

Step-by-step explanation:

I hope this helped, have a nice day!

The probability of rolling a three or six is 2/6

What is probability?

Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Given:

probability of getting 2= 1/6

probability of getting 6 = 1/6

So, the probability of rolling a three or six

=1/6 + 1/6

=2/6

=1/3

Hence, probability of rolling a three or six is 1/3.

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Six more than three times the sum of a number and four.

Answers

6+{3(x+4)}

I think it’s this

Find the area. Simplify your answer.

Answers

24x? i haven’t done these in a while so lmk if i’m wrong

Math question I need help with it please help me !

Answers

Answer:

96 degrees

Step-by-step explanation:

Answer:

x = 5°

Step-by-step explanation:

Because of the given congruency,

Angle A = Angle D = 50° = 10x

10x = 50

x = 5°

HOPE IT HELPS!!!

You and a friend ordered fajitas for two, and agreed to split the bill. The bill came to $19.06. You decided to give a 15 % tip. How much did you pay?

Answers

$2.86 if you’re tipping off of $19.06 but if you’re tipping off half of that so the split bill which is $9.53 then your tip is $1.43

M is the midpoint of LN. If LN = 90, what is LM?

Answers

Answer:

LM = 45

Step-by-step explanation:

M is the midpoint of LN. If LN = 90, what is LM?

L––––––N

From the question

M is the midpoint of LN.

Hence:

L––M––N

Since M is the Midpoint of LN, it means LN is divided in 2 equal parts

LM , MN

So, LM + MN = LN = 90

If LN = 90, LM = 90/2

LM = 45

A retail outlet's sales for January were $45,000. In February, these sales decreased 10%; but from February to March, sales increased 10%.

What were the outlet's sales for the month of March?

a. $44,550
b. $49,500
c. $40,500

Answers

Step-by-step explanation:

$44,550

find the value of the variable if they are in G.P.
k-5,k+1,k+5​

Answers

Answer:

k is the variable

Step-by-step explanation:

HELP NEEDED TIMED i need help figuring out how to do this

Answers

Answer:

The answer is 3/4

99

4

Step-by-step explanation:

Please help!!!!!!!!!!!!!!!

Answers

well if you look at it it comes at a slope

A function f(x)is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. f(x)= $\text{Basic}$Basic 789÷Divided by456×Multiplied by123-Minus0.,+PlusLeftRightBackspace=Equals $x$x​$y$y​$x^2$x2​$\sqrt{ }$√​$\frac{x}{ }$ x ​​$x\frac{ }{ }$x ​​$x^{ }$x​$x_{ }$x​​<>±$%$\degree$°​:$\left(\right)$()​$\abs{ }$​$\pi$π​$\infty$∞​

HELP RIGHT NOW!

Answers

Answer:

5(1.4)^x

I took the test :)

Step-by-step explanation:

Answer:

5(1.4)^x

Step-by-step-explanation:

I took the Unit Test

WILL GIVE LOTS OF EXTRA POINTS PLEASE HELP ME ASAP! MORE THAN ONE PERSON CAN ANSWER I WILL GIVE BOTH OF YOU EXTRA POINTS!!

Answers

Answer:

(x+4, y+1)

Step-by-step explanation:

I couldn't see the options below but this is the right one

Plz name me brainliest Thank You

Answer:

(x+4, y-1)

Step-by-step explanation:

Makes the most sense-

The y value goes down one, which makes it negative and if u go along the x line it goes over 4 and sense it goes to the right, it would be positive.

A rental car agency charges $240.00 per week plus $0.25 per mile to rent a car.How many miles can you travel in one week for $380.00?
(Type a whole number)

Answers

Answer:

m=980

Step-by-step explanation:

There's a video in Google on how to do this.

PLEASE HELP ME RIGHT ANSWERS ONLY Your gas-powered weed trimer has a tank that holds 0.72 gallons. If you burn 0.13 gallons every time you trim around your house, how many times can you trim the weeds without refilling the tank?

Answers

Answer:

5 times

Step-by-step explanation:

The tank holds 0.72 gallons, and burn 13 gallons every time. Which means 0.72 divided by 0.13 would be the amount of times you would trim the weeds without refilling the tank. Which in this case the answer is 5.538... so if you round it u would get 5.

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Tip #1: Find the right string trimmer for you.

A few different string trimmers exist to meet the needs of you and your lawn:

Electric string trimmers tend to use lithium-ion batteries at 40 to 80 volts and are clean, quiet, and light. The uncorded versions add mobility to your work; however, corded electric string trimmers don’t require recharge time and are lighter.

Gas string trimmers use gas engines that provide more power than their electric counterparts. These trimmers are cordless and mobile, but you must regularly refuel for continued use. Some gas trimmers require a pull-start to crank, while other models come with an automatic crank.

String trimmer mowers, or walk-behind trimmers, resemble traditional lawnmowers without the size or the spinning blade. String trimmer mowers offer an in-between range for those lawn sections too big or too small for conventional mowers and trimmers.

Tip #2: Take safety precautions when using your string trimmer.

Like lawnmowers, string trimmers use a spinning motion to cut grass and thin wooden plants. For example, trimmers cutting in a counter clockwise spin will eject cut debris in a leftward direction.

Acknowledge the direction of your string trimmer’s spin and position yourself appropriately to avoid harmful debris hitting your body, like rock, glass, plastic, or any other small objects that can go flying when hit by the trimmer’s filament line. Additionally, keep children and pets indoors, or otherwise keep them and others on the opposite side of the eject direction.

Tip #3: Take advantage of spin direction when using your string trimmer.

Though you must heed the spin direction of your string trimmer for safety, the spin direction also commands the best use of your string trimmer. Ensure that your string trimmer ejects material away from your cut path to avoid working over piles of cut material, which drastically reduces the efficiency of your tool and encourages an uneven lawn trimming.

Tip #4: Use a cutting technique that fits the circumstance of your yard.

You accomplish a well-trimmed lawn by handling your string trimmer with precision. String trimmers seem clunky at best, but you can use a few different techniques to get that even cut you want. Mark Clement from Popular Mechanics suggests these methods:

Tapering: To cut along the boundaries of your lawn, angle the string trimmer so that the line cuts somewhat at an angle. You get your best cut toward the tip of the line, Clement explains, so tilting the trimmer slightly down helps cut smaller, more manageable portions while allowing the line to strike at its strongest point.

Edging: This method is useful when you need to cut grass at the edge of a parallel surface, such as a driveway or sidewalk. Instead of tilting the trimmer down, hold the tool so that the line cuts vertically. Clement notes that edging may uproot rocks and dirt and suggests easing these portions of your lawn into the right cut over time if you haven’t edged before.

Scything: Gently swing your string trimmer in a U-shaped pattern to navigate a difficult or obstructed area of the lawn. This method provides manageable trimming, and by overlapping the pattern, you’ll get the even cut you want.

Screeding: Clement explains that this method of using your string trimmer helps cut grass and weeds growing out of sidewalks, driveways, and other paved areas. Angle your string trimmer so that the line tip is hitting the pavement but the rest is slicing close to the base of the weed or grass.

Tip #5: Take care of your string trimmer.

Not unlike other tools, maintaining your string trimmer will keep it operable for years to come. After every use, wipe off grass and dirt debris from the line or replace it when necessary. String replacement is common, especially if you are using your string trimmer frequently. For gas-powered string trimmers, replace the spark plug every three to four months. Finally, empty the gas tank of the trimmer before long-term storage.

If you buy the right string trimmer for your needs, keep it properly maintained, and remember cutting direction for safety and a good cut, you’ll be using your string trimmer like a pro in no time.

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A.CED. A1

Simone, Teresa, Jesse, Aricka, and Leon are working together to write a quadratic function to represent a parabola that opens downward and has a vertex of (-3, 5).

Simone: LaTeX: s\left(x\right)=-3\left(x-3\right)^2+5
s
(
x
)
=

3
(
x

3
)
2
+
5

Teresa: LaTeX: t\left(x\right)=-\frac{1}{4}\left(x+3\right)^2_{ }+5
t
(
x
)
=

1
4
(
x
+
3
)
2
+
5

Jesse: LaTeX: j\left(x\right)=-3\left(x+3\right)^2+5
j
(
x
)
=

3
(
x
+
3
)
2
+
5

Aricka: LaTeX: d\left(x\right)=\left(x+3\right)^2+5
d
(
x
)
=
(
x
+
3
)
2
+
5

Leon: LaTeX: z\left(x\right)=-2\left(x-3\right)^2+5
z
(
x
)
=

2
(
x

3
)
2
+
5

Select the correct functions.

Group of answer choices

Simone

Aricka

Teresa

Leon

Jesse

None of these

Answers

Answer:

none of these are correct

What is being done to the variable in the equation a/-7 = 84? SOMEONE HELP ASAP

It's being divided by 84.

It's being multiplied by 84.

It's being multiplied by -7.

It's being divided by -7.

Answers

Answer:

It's being divided by -7

Step-by-step explanation:

9514 1404 393

Answer:

  It's being divided by -7.

Step-by-step explanation:

The equation is read as ...

  "A divided by minus seven is equal to eighty-four."

The wording "A divided by -7" means the value of the variable is being divided by -7.

PLS HELP BEING TIMED!!!!
Which describes the transformation that could have been applied to triangle ABC?
A dilation could have been applied because all of the
vertices decreased by 2 units.
O An isometric transformation could have been applied
because all of the vertices moved 2 units right and 2
units down.
A dilation could have been applied because all of the
vertices increased 2 units.
An isometric transformation could have been applied
because all of the vertices moved 2 units left and 2
units up.

Answers

Answer: I’m sorry im late, but the answer to your question should be B.

Step-by-step explanation: reason being is because the figure didnt grow/shrink like it would for a dilation so that gets rid of A. And C. And its not D. Because the dashed triangle is our original triangle not our new one so it would not make sense for it to go up and to the left. Thanks for coming to my ted talk

The image A'B'C' is formed by an isometric transformation because all of the vertices moved 2 units right and 2 units down, the correct option is B.

What is Transformation?

Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.

Rotation is a type of transformation of an object on an x-y plane, when an object is turned clockwise or anticlockwise by a certain angle, the object is said to be rotated.

Reflection is creating a mirror image of the object, which is same in shape and size but only the coordinates have been changed.

Translation is moving the object, up, down, left or right on the coordinate axis.

Dilation is changing the size of the object, the original object is either enlarged or compressd by certain scale factor.

The object ABC shown in the image has coordinates A ( -2, 5), B (-5, -3), C(1, -3) and,

The image has the cooridnates A'(0,3), B'(-5,-3) , C'(3, -5).

The coordinates have been transformed by translation.

The transformation is an isometric transformation could have been applied because all of the vertices moved 2 units right and 2 units down.

To know more about Transformation

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answer me plsssssssssssssssssssssssssssssssss brainlyest

Answers

The answer is C trust me

Answer: I will say it’s C because if you decide 8 by both sides 8 and cancel out 204.8/8=25.6, so it gives the answer of m=25.6.

-by-step explanation:

Help me ill give brainllist!!!!!!!!

Answers

Answer:

the shape is semetrical

Step-by-step explanation:

Answer: The facts Ab=Dc and Ac=Db are enough to show that Triangle ABC and Triangle DBC are congruent. This means that their similar angles will be equal like their sides.

I just need help understanding how to calculate for the angles and sides because my teacher is absent when I need help the most. Anything is much appreciated

Answers

Answer:

I will give you the best knowledge I can offer at this moment.

One thing to understand:

- When dealing with angles in a triangle, know that EVERY angle has to add up to 180*. ( * = degrees)

Based on the image provided, I'm assuming that you are learning how to classify triangles based on the angles and side lengths. There are mainly 6 types of triangles:

3 based on sides

3 based on angles

The 3 based on sides

Scalene Triangle

A scalene triangle has all side lengths of different measures. No side will be equal in length to any of the other sides in such a triangle. In a scalene triangle, all the interior angles are also different.

Isosceles Triangle

In an isosceles triangle, the lengths of two of the three sides are equal. So, the angles opposite the equal sides are equal to each other. In other words, an isosceles triangle has two equal sides and two equal angles.

Equilateral Triangle

In an equilateral triangle, all the lengths of the sides are equal. In such a case, each of the interior angles will have a measure of 60 degrees. Since the angles of an equilateral triangle are same, it is also known as an equiangular triangle.

The 3 based on angles

Acute Triangle

An acute triangle is a triangle whose all the three interior angles are acute. In other words, if all interior angles are less than 90 degrees, then it is an acute-angled triangle.

Obtuse Triangle

Obtuse triangles are those in which one of the three interior angles has a measure greater than 90 degrees. In other words, if one of the angles in a triangle is an obtuse angle, then the triangle is called an obtuse-angled triangle.

Right Triangle

A right triangle is a triangle in which one of the angles is 90 degrees. In a right-angled triangle, the side opposite to the right angle (90-degree angle) will be the longest side and is called the hypotenuse. You may come across triangle types with combined names like right isosceles triangle and such, but this only implies that the triangle has two equal sides with one of the interior angles being 90 degrees.

I hope this information helps with your math class and studies!

Which of the sets of ordered pairs represents a function? (1 point)
A = {(2,7), (1,-5), (7, 2), (2, -9)}
B = {(5,3), (-2,-9), (-3, 8), (9,3)}
a.
Only A
b.
Only B
C.
Both A and B
d.
Neither A nor B

Answers

Answer:

Only B

Step-by-step explanation:

A has 2 pairs with the x as the number 2, so they are not functions.

B has all independent pairs with their own numbers

So only B is the correct answer.

if n = 4, the value of the expression
[tex]28 - 12 \sqrt{n \div 2} [/tex]


Answers

Answer:

pretty sure it's 17

Step-by-step explanation: just did it

The value of the expression is 11.032

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

28 - 12 √(n ÷ 2)

Sustitute n = 4

= 28 - 12 √(4 ÷ 2)

= 28 - 12√2

= 28 - 12 x 1.414

= 28 - 16.968
= 11.032

Thus,

The value is 11.032

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What is the 8th term of the sequence given by an = 3n-5?

Answers

Answer:

a10 = 25

Step-by-step explanation:

I'm not certain that I have interpreted the question in the way it was intended; however, if I have:

a 10  =  3 (10 )  −  5  =  

30  −  5  =  25

At Gamestop you can buy a Xbox One for $150 and each game to go with it would cost $24. Or, you can buy a Playstation 4 for $180 and each game for $20. Write an equation to determine how many games would need to be purchased for the cost to be equal?

Answers

Answer:

Xbox One is the better console to buy.

Adding the game console for $150.00 with 7 games costing 24, they will cost you $318.00

While the PlayStation 4 with the 7 games cost a total of $320.00

Step-by-step explanation:

A can of drink costs 32p. The cost of the drink has increased to 38p.
Jenny calculates that this is a percentage increase of 19%
Is Jenny's percentage correct?
PLZ SHOW WORKING OUT

Answers

Answer:

Jenny's percentage isn't correct

Step-by-step explanation:

You'd have to divide first:

38 / 32 = 1.1875 = (rounded) 1.19%

The percentage increase is 1.19%

Answer:

the percentage is 100 because you add 32 and 38 and equals 100 if you were to subtract you would have got 6%

Is -0.003 irrational or rational

Answers

Answer: irrational

Explanation:

Answer:

rational it can be written as a fraction

I hope this is good enough:

solve for a
-7=-ax-16​

Answers

Answer:

x=-9/a and a=-9/x

Step-by-step explanation:

Other Questions
Rachel finished3_4 of the race in 6 hours. How long was the entire race? what is 0.0001 to a power of 10. How does the air on a hot day compare with the air on a cold day?Answers:A. On a hot day, air molecules have more energyB. On a cold day, air molecules move fasterC. On a hot day, the air contains more nitrogenD. On a cold day, air molecules don't move at allWhich one is it? can you guys hurry pls I only have 20 more minutes Cmo hago un diagrama de separar arena, agua piedra , hierro,sal y aceite 6.3952 rounded to the nearest tenth A.CED. A1Simone, Teresa, Jesse, Aricka, and Leon are working together to write a quadratic function to represent a parabola that opens downward and has a vertex of (-3, 5).Simone: LaTeX: s\left(x\right)=-3\left(x-3\right)^2+5s(x)=3(x3)2+5Teresa: LaTeX: t\left(x\right)=-\frac{1}{4}\left(x+3\right)^2_{ }+5t(x)=14(x+3)2+5Jesse: LaTeX: j\left(x\right)=-3\left(x+3\right)^2+5j(x)=3(x+3)2+5Aricka: LaTeX: d\left(x\right)=\left(x+3\right)^2+5d(x)=(x+3)2+5Leon: LaTeX: z\left(x\right)=-2\left(x-3\right)^2+5z(x)=2(x3)2+5Select the correct functions.Group of answer choicesSimoneArickaTeresaLeonJesseNone of these if the part is 22 and the percent is 44% what is the whole Although most STEM careers require workers to earn bachelor's degrees, high school graduates can qualify for some STEM careers. Which of these jobs do not require post-secondary education?O Museum Conservator and Anthropologist O Electronic and Industrial Engineering TechniciansO Social Science Research Assistant and Park Naturalist O Non-Destructive Testing Specialist and Surveying Technician Find the dimensions of the circle. Check your answer, Area = 36 m^2Please help! PLEASE HELP ME RIGHT ANSWERS ONLY Your gas-powered weed trimer has a tank that holds 0.72 gallons. If you burn 0.13 gallons every time you trim around your house, how many times can you trim the weeds without refilling the tank? Why did Louisiana colonists dislike Ulloa?O He tightly controlled all of the colony's money andmaterial goods.O He wanted to keep old laws that most colonistsdisagreed with.O He tried to make changes, but did not have whatwas needed to accomplish them.O He had the backing of French officials, but not thesupport of the new Spanish officials. Using your knowledge of roots what diagnosis would you give to someone who fears campfire? Si la base de un rectngulo mide 4 metros cunto sera su medida de altura Need helpp fastt plss will give brainliest to who is correct plss helpp Maya Angelous quote It cost me the earth, but I got the job is an example of HyperboleSimileMetaphorOxymoron What group brought babylonia back? Mars has two moons. What does the orbital speed of these moons depend on? What contribution made King Hammurabi so special? I just need help understanding how to calculate for the angles and sides because my teacher is absent when I need help the most. Anything is much appreciated