For which pair of functions is (gof)(a) = al-2? O f(a) = a? – 4 and g(a) = Va o fla) = 3a-1 and g(a) = 2a - 2 O f(a) = 5 + a² and g(a) = a-5-2 O f(a) = 3 - 3a and g(a) = 4a - 5
Answers
Step-by-step explanation:
f(a)=1/2-1 and g(a)=2a-2
The pair of functions that gives
f(a) = 5 + a² and g(a) = √(a - 5) - 2 is (g o f) (a) = |a| - 2.
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the process are 1 and 2.
We have,
f(a) = a² - 4 and g(x) = √a
(g o f) (a)
= g (f(a))
= g (a² - 4)
= √(a² - 4)
f(a) = (1/2)a - 1 and g(a) = 2a - 2
(g o f) (a)
= g (f(a))
= g ((1/2)a - 1)
= 2 x ((1/2)a - 1) - 2
= a - 2 - 2
= a - 4
f(a) = a² - 4 and g(a) = √a
(g o f) (a)
= g (f(a))
= g (a² - 4)
= √(a² - 4)
f(a) = 5 + a² and g(a) = √(a - 5) - 2
(g o f) (a)
= g (f(a))
= g (5 + a²)
= √((5 + a² - 5) - 2
= √a² - 2
= |a| - 2
f(a) = 3 - 3a and g(a) = 4a - 5
(g o f) (a)
= g (f(a))
= g (3 - 3a)
= 4(3 - 3a) - 4
= 12 - 12a - 4
= 8 - 12a
Thus,
The pair of functions that gives
f(a) = 5 + a² and g(a) = √(a - 5) - 2 is (g o f) (a) = |a| - 2.
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Related Questions
Work out the area of the parallelogram.
Not drawn
accurately
13 cm
79°
21 cm
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I NEED HELP WITH THIS PLEASE AND PLEASE DONT SEND LINKS
Answers
Answer:
The coins probability is 1/2 while the dice probability is 1/6
Step-by-step explanation:
The coin only has 2 sides so you split it into halves
The dice has 6 sides so you split it into sixths
Kelly drove 385 miles to visit her friend. She drove at an average rate of 55 miles per hour.
How long did it take her to drive to her friend's house?
A: 5 hours
B: 7 hours
C: 9 hours
D: 11 hours
Answers
Answer:
B. 7 hours
Step-by-step explanation:
The formula for time (in this scenario) is t = d/s.
t - time
d - distance
s - speed
For this problem, d - 385 mi and s - 55 mph. To find the time this trip took, you would solve 385/55=7. In the end, Kelly drove for 7 hrs. Hope this helps!!
The parent teacher association is raising money for a new swing set. They need $682.56 to purchase the swing set and receive a $200.00 donation. The remaining amount will be equally divided among 8 different student groups to raise. How much money will each student group need to raise in order to purchase the swing set?
Answers
Answer:
Each student will raise $60.32
Step-by-step explanation:
682.56-200.000 = 482.56
482.56/8 = $60.32
[tex] \sqrt{3x + 4} - \sqrt{x + 5} = 1[/tex]
Answers
x=4
Good luck !!!
Answer:
x=4
Step-by-step explanation:
See some of the steps below:) you can use the app photo math. you just take a picture of the problem and it gives you the answer and explains the steps:)
Please help me I’m stuck
Answers
Answer:
x = 3.2
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b²
Where,
c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4
a = x
b = 3
Substitute
4.4² = x² + 3²
19.36 = x² + 9
x² = 19.36 - 9
x² = 10.36
x = √10.36
x = 3.2 (nearest tenth)
Army needs to order a shade for a triangle-shaped window has a base of 6 feet and a height of 4 feet.what is the area of the shade
Answers
Answer:
The area of the shade is 12 feet
Step-by-step explanation:
To find the area you would do 6 * 4 which equals 24 but with every triangle you have to cut the area in half so the actual answer would be 12 feet
Please help ASAP !!!
Answers
Answer:
C
Step-by-step explanation:
It would not be 1 or 8, because 8 + 8 + 8 + 4 = 28, and 1 + 1 + 1 + 4 = 7, so that leaves 3/8 and 8/3. To figure out which one it would be, you'd do 3/8(3) + 4, which equals 5.125 or 41/8. If you did 8/3, however, it'd equal 12.
Can anyone answer ASAP
Answers
there are 60 inches in 5 feet.how many inches are in 8 ft?
Answers
Answer:
63in
Step-by-step explanation:
‼️‼️‼️Answer pls‼️‼️‼️
Answers
Answer:
C) 20 sq. ft.
Step-by-step explanation:
Using the formula given, we can find the answer. Substitute the diagonals given, 8 and 5, into the formula.
We then get 1/2*8*5 which equals 20 sq. ft.
Answer:
20 sq. ft.
Step-by-step explanation:
PLS HELP I BEG YOUU!!!
Answers
Answer:
Step-by-step explanation:
the balloon starts at (10, 0 )
it ends at 16,0)
in the middle it's at between 10 and 16 , so say about 13, where it reaches 27
so in the middle it's (13,27)
so ( 11, 9)
(12, 18)
got 13
(14, 18)
(15, 9)
got 16
:P
Need help ASAP! I’ll give brainliest;) No links please, will report.
The perimeter of a triangle is 5x^4+5x^3+5x^2+50x+100. One side is 5x^2+103x+40 and the other side is 5x^3-43+100. What is the length of the third side of the triangle?
Answers
Answer:
side 1=5x^2+103x+40
side2=5x^3-43+100
side 3=A {let}
we have
perimeter of triangle=side 1+ side2 +side3
5x^4+5x^3+5x^2+50x+100=5x^2+103x+40+5x^3-
43+100+A
A=5x⁴+5x³+5x²+50x+100-5x³-5x²-103x-97
A=5x⁴-53x+3 is your answer
How can you tell if these are greatest common factor or difference of squares questions?
Answers
Answer:
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
The probability distribution for a random variable x is given in the table. -5 -3 -2 0 2 3 Probability .17 .13 33 16 11 10 Find the probability that x < 0
Answers
Answer:
0.79
Step-by-step explanation:
add up the probability that is less than or equal to 0, which is 0.17+0.13+0.33+0.16 = 0.79
The probability [tex]$x \leq0$[/tex]. is 0.79.
What is probability distribution?
A probability distribution exists a statistical function that defines all the possible values and likelihoods that a random variable can consider within a provided range.
The probability distribution is given in the table.
Probability that [tex]$x \leq0[/tex]
The values that are 0 or lower are -3, -2 and -5. So
[tex]$P(X \leq0)=P(X=-3)+P(X=-2)$$[/tex]
From the table:
[tex]$&P(X=-3)=0.13, P(X=-5)=0.17, P(X=-2)=0.33[/tex] and [tex]P(X=0)=0.16[/tex]
So, [tex]$&P(X \leq-3)=P(X=0)+ P(X=-3)+P(X=-5)+P(X=-2)[/tex]
= 0.16 + 0.13 + 0.17 + 0.33
= 0.79
0.79 probability that [tex]$x \leq0$[/tex].
To learn more about probability distribution
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1/2(12x42)-(5x19)
Pls help me
Answers
Answer:
157
Step-by-step explanation:
Explanation: PEMDAS
The table shows the number of yards of ribbon needed to make different numbers of bows.
Which equation shows the relationship between the number of bows, b and the number of yards of ribbon needed, r?
A. r=b + 3
B. r= b - 3
C. r= b x 3
D. r= b / 3
Answers
Answer:
C
Step-by-step explanation:
The number of ribbon needs depends on the number of bows times 3 so
r= b x 3
Is the statement [x]=Lx + 1)
true for all real
numbers? Explain.
Answers
The Edg answer is as follows -
The statement is not true for all real numbers. It is only true for decimal or fractional values of x .
If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1.
Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.
Answer:
The statement is not true for all real numbers. It is only true for decimal or fractional values of x .If x is an integer, then the ceiling function returns x when the input is x . But, the flooring function returns x + 1 when the input is x + 1.
Since x does not equal x + 1 when x is an integer, the expressions are not equal when x is an integer.
Step-by-step explanation:
doing assignment
√128ab^3
simplify square roots
Answers
Answer:
[tex]8b\sqrt{2ab}[/tex]
Step-by-step explanation:
Rewrite 128a[tex]b^{3}[/tex] as [tex](8b)^{2}[/tex] ⋅ (2ab).
Factor 64 out of 128.
[tex]\sqrt{64 (2)ab^{3} }[/tex]
Rewrite 64 as [tex]8^{2}[/tex] .
[tex]\sqrt{8^{2} . 2ab^{3}[/tex]
Factor out [tex]b^{2}[/tex].
[tex]\sqrt{8^{2} . 2a (b^{2}b)[/tex]
Move a.
[tex]\sqrt{8^{2} . 2b^{2}ab[/tex]
Move 2.
[tex]\sqrt{8^2b^2 . 2ab}[/tex]
Rewrite [tex]8^{2} b^{2}[/tex] as [tex](8b)^{2}[/tex].
[tex]\sqrt{(8b)^2 . 2 (ab)}[/tex]
Add parentheses.
[tex]\sqrt{(8b)^2 . (2ab)}[/tex]
Pull terms out from under the radical.
[tex]8b\sqrt{2ab}[/tex]
What is 65% out of 45?
Answers
Answer:
29.25 is ur answer
Step-by-step explanation:
Will give brainlist and 5 star! and a like
The temperature in Marshfield at 6:00 p.m. was 5 degrees Fahrenheit. By 11:00 p.m., the temperature had dropped
9 degrees.
Enter the temperature, in degrees Fahrenheit, at 11:00 p.m.
Answers
-4 degrees fahrenheit
what's the answer ?
[tex] \sqrt{25 \times 9} [/tex]
Answers
Answer:
[tex] \sqrt{25 \times 9} [/tex]
[tex] \sqrt{5² \times 3²} [/tex]
±(5*3)
±15 is a required answer.
All TVs are on sale at Target for 25% off.
The sales tax in Rochester is 7.875%
If Mrs. Winters wants to buy a TV that is regularly priced $800, what will her final cost be?
Answers
Answer:
$647.25
Step-by-step explanation:
Twenty-five percent off the regular $800 price comes to 0.75($800), or $600 (after the discount).
Calculating the 7.875% sales tax and adding it in, we find that the final price to be paid is (1 + .07875)($600), or $647.25.
Help me please and explain for me
Answers
Answer:
1.575 × 10^6 gallons
Step-by-step explanation:
1.25 × 10^6 = 1.25 × 1,000,000 = 1,250,000 gals.
Dolphin tank = 325,000 gals.
total vol. = 1,250,000 + 325,000 = 1,575,000 gals.
scientific notation = 1.575 × 10^6 gallons
HELP ME PLEASE IM STUCK QUICK
Answers
Answer:
TRUE
Step-by-step explanation:
15>2
Answer:
The answer is true
Step-by-step explanation:
The left side 15 is greater than the right side 2 , which means that the given statement is always true. True
Which one of these is not congruent to angle 5?
Answers
Answer:
Step-by-step explanation:
The answer is 1 and 3
Solve the proportion.
Answers
Answer:
y = 5
Step-by-step explanation:
cross-multiply:
6y = 30
y = 5
So far this season, Kristen scored 6 goals and missed on her 33 other shots on goal. What is the experimental probability that Kristen will score a goal on her next shot? Write your answer as a fraction or whole number.
Answers
Answer:
2/13
Step-by-step explanation:
Answer:
2/13
Step-by-step explanation:
17, 24, 31, 38, ... common diffrence Arithmetic Sequences
Answers
Ans: 10+7n
Step-by-step explanation: there you go
Answer:
d=7; equation=17+(n-1)7
Step-by-step explanation:
I dont know what your question is but it goes up by 7
I don't understand this problem
Answers
Answer:
45%
Step-by-step explanation:
Step-by-step explanation:
It's asking you what the probablitiy of a red car is.
Since this looks like a test/homework, I'll give some hints.
Let's say that SUV's and car's are x.
Out of x, 60 percent is cars.
Let's call the amount of cars we have y.
Out of y amount car's, 15 percent is red.
It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.
Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.
Hope this helps!