f(x)=x^2+2x-6 and g(x)=x+5

Type the composition (gof)(x) of the given functions

Answers

Answer 1

F ( x + 5 )= x ^2 + 12 x + 29

Answer 2

The composition (gof)(x) of the given functions is (g°f)(x) = x² + 12 x + 29

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

For two given functions f(x) and g(x), the composite function

(g ° f)(x) is g(f(x))

we know that:

g(x) = x+5

f(x) = x² + 2x - 6

Then:

(g°f)(x) = g(f(x))

So, we just need to evaluate g(x) in f(x):

g(f(x)) = f(x) + 5 = (x² + 2x - 6) + 5

(g°f)(x) = x² + 12 x + 29

Then the correct answer is (g°f)(x) = x² + 12 x + 29

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Related Questions

combine like terms 23x + 3y -5x​

Answers

Answer:

18x + 3y

Step-by-step explanation:

23x - 5x combine to 18x.  

Then the given expression becomes 18x + 3y.

Answer:

18x+3y

Step-by-step explanation:

Mark and Henry win some money and share it in the ratio 4:3. Mark gets £9 more than Henry. How much did they get altogether?​

Answers

Answer:

A tiny guess, but I believe the answer is 63.

Explanation:

Well, since Mark would’ve had the 4 in the 4:3, that would mean each part would be 9 dollars.

So, if there seven parts in total, that would mean it’s...

7 • 9
63

Hopefully this helped!

What form is this quadratic? f(x)=2x^2+5x-10​

Answers

Answer:

I hope that you thought so.

I recommend to you: Photomath

The recipe called for a ratio of sugar and flour to be 2 lbs to 9 lbs. If the chef used 18 lbs. of flour, how many pounds of sugar are needed?

Answers

Answer:

3/8 lb or 6 oz

Step-by-step explanation:

y+8 can be translated as "the
of a number and elght."
quotient
product
difference
sum

Answers

sum is the answer

hope this helped
The answer is “SUM”

I hope you get an a

HELP PLEASE! THANKS :)

Answers

Answer:

If im not wrong, it has to be "How much does your dog weigh"

Step-by-step explanation:

Mike is 6.2 feet tall and casts a shadow that is 10.7 feet long. At the same time, a tree casts a shadow that is 37.5 feet long. How tall is the tree to the nearest tenth of a foot?

Answers

Answer:

I think it's 38

DUE IN 30 MINTUES!!!!!PLEASEEE HELP!!!
You need to purchase supplies for the trip. You have $1000 to spend.

Oxen: $40 each
Food: $0.20 per lb
Clothing: $10 per set.
Matt also charges 9% tax

Purchase at least 2 oxen, 500lbs of food, and 5 sets of clothing. You may want to purchase more.

Select the amount of items and find the total cost including tax

Answers

7 Oxen= $280
2,150 Ibs of food= $430
15 clothes= $150
430+280+150=860
Tax- 860 x 1.09= $937.4

Find the circumference of f

Answers

Answer:

its kinda hard to explain udisng words but mutiple to get acxorss then plit it and SFF and you should get the asnwer

Step-by-step explanation:

Someone plzzz tell me this answer i am really stuck on this

Answers

Answer:

A

Step-by-step explanation:

Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by

NO LINKS OR REPORT
Please help!

Find the area of the figure

Answers

Answer:

[tex]Aear=2450cm^{2}[/tex]

Step-by-step explanation:

The figure is made up of a rectangle, parallelogram, and square.

Area of the rectangle is 50(15)=750 cm²

Area of the parallelogram is 40 (40)=1600cm²

Area of the square is 10(10)=100 cm²

The total area is 750+1600+100= 2450 cm²

[tex]-------------------[/tex]

hope it helps..

have a great day!!!

Factor the expression:

x2-3x-10

Answers

Answer:

Step-by-step explanation:

Answer:

(x-5) (x +2)

Step-by-step explanation:

try this one, mathaway or photomath is a great app help me alot.

Find the area of the composite figure. Show your work. What is the area of the figure?​

Answers

Answer:

46 units²

Step-by-step explanation:

The figure can be decomposed into 2 triangles and a rectangle.

Area of rectangle = L*W

W = 4

L = 8

Area = 32 units²

Area of triangle 1:

Area = ½(b*h)

b = 3

h = 4

Area = ½*3*4

Area = 6 in.

Area of triangle 2:

b = 4

h = 4

Area = ½*4*4

Area = 8 units

✅Area of the figure = 32 + 6 + 8

= 46 units²

I have no idea what the problem was with

Answers

Answer:

,,,,,,,,,,,,,,,,,,,,

Answer:

120in

Step-by-step explanation:

Okay, this is going to be a long one so hang onto your hats let's go

So, we first have to find the length that each of the frogs jumped so:

We're going to start with froggy #1, the 2-inch frog:

2 x 20 = 40

So froggy #1 can jump up to 40 inches so we're going to assume that each time our froggies jump, they jump to their full extent:

40 x 3 = 120

So froggy #1 jumped 120 inches

Now, we do the same with froggy #2, the 4-inch frog:

4 x 20 = 80

80 x 3 = 240

So froggy #2 jumped 240 inches

Now, we have to figure out how far ahead froggy #2 is from froggy #1:

240 - 120 = 120

So, the two froggies will end up 120 inches apart

hope this helps:)

Which of the following angles is not coterminal with the other three?

a.–197º

b.17º

c.523º

d.163º​

Answers

9514 1404 393

Answer:

  b.  17°

Step-by-step explanation:

All of the angles are 2nd-quadrant angles except 17°, which is a 1st-quadrant angle.

  17° is the odd angle

__

When you compute ...

  mod(angle, 360), you get 163, 17, 163, 163.

Which section or sections represent what is not in set HH?

Answers

Answer:

2) Sections 3 and 4

Step-by-step explanation:

Section 1 represents what ONLY applies to set HH, section 2 represents what is in BOTH set HH and Set C. So they are automatically out of the question.

Section 3 and 4, however, apply to either set C, or no set at all!

~~~~~~~~~~~~~~

Have a nice day fam. Spread The Love.

a rectangular prism and its dimensions are shown in the diagram.

what is the total surface area of this prism in square inches?

Answers

Answer:

Volume is 243.75

Step-by-step explanation:

v=(7.5)(5)(6.5)=243.75

Write the equation of the line in slope-intercept form

Answers

Answer:

y=x

Step-by-step explanation:

m=1 b=0

(1/1) (Rise/run) (0)(y-intercept)

y=1x+0

y=x

A letter is chosen from the word shown.
BELIEVABLE
Which describes the probability of randomly choosing a consonant?

Answers

Answer:

That something unexpected is about to happen.

Step-by-step explanation:

Can someone help please

Answers

Answer:

b-80 d-6

Step-by-step explanation:

100% correct

1. According to the graph the

percentage score of a student that

slept for 8hours is 80%

2. The graph also show that the student which score 90%,the number of hours the student slept is 6hours

Help me pls TwT I am terrible at math

Answers

Answer:

It should be B:)

Step-by-step explanation:

A rectangle has a length of 5x + 2 ft and a width of 2x + 11 ft.

Write an expression to model the area of the rectangle.

Show work, please!

Answers

Answer:

A = length * width

A = 5 (x+2)

A = 5x+10

I'm SO SORRY

And pleaseee This too

Answers

Answer:

the correct option is 75

Step-by-step explanation:

The standard notation for how to write tables is in the next way.

[tex]\left[\begin{array}{ccc}inpt&outpt\\x_1&y_1\\x_2&x_2\end{array}\right][/tex]

Where the input values are represented in the x-axis (the horizontal one) and the output values are on the y-axis (the vertical one).

In this case, we want to find the number of (x-value) for the height of 250.

Then we need to look at the vertical axis and find the value y = 250.

Now let's move to the right until you meet with the point.

Once you reach the point, move down to the axis, the value at which you intersect the axis is the x-value.

We can see that the point is on the middle of the x-values:

x = 70 and x = 80

Then the x-value of the point is x = 75

This means that the correct option is 75

how many months are in 59 days???

Answers

1 month 29 days but if the month have 29 days each then the it will be 2 months

Guys pls help me!!!!!

Answers

Answer:

1 ten and 5 ones

Step-by-step explanation:

The graph of f(x)=4/x^2-2x-3 is shown. For which values of x is f(x) decreasing?

Answers

Answer: (1,3) (3, infinite)

Step-by-step explanation:

i think this is right

The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of (-1,3) ∪ (3,∞)

What is graph?

A graph can be defined as "pictorial representation or the diagram that represent a data or values in an organized manner".

According to the question,

The graph of function f(x) =  4/(x² - 2x - 3).

The values (-1,3) ∪ (3,∞) substitute in the given function

f(-1) = 4/0 = undefined

f(3)= 4/0 = undefined

f(∞)= undefined

Hence, The graph of f(x) = 4/(x² - 2x - 3) is decreasing in the values of

(-1,3) ∪ (3,∞).

Learn more about  graph here

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Jensen recorded the daily average temperature (in degrees Fahrenheit) at his home over two weeks' time. ​His results are shown below. 48, 56, 63, 67, 58, 60, 63, 72, 69, 59, 63, 68, 73, 64. What was the range of the temperatures? __________ degrees Fahrenheit

Answers

Answer:25

Step-by-step explanation:

73-48=25

To get your answer take the highest number and subtract it from the lowest number

a cake has a diameter of 5 inch what is the circumference

Answers

Answer:

15.7

Step-by-step explanation:

c=d×3.14 which equals 15.7

Answer:

5π or 15.70796327 (I don't know what to round to or if the answer is supposed to be in terms of pi so it could be either).

Step-by-step explanation:

[tex]2\pi(2.5) = 5\pi[/tex]

[tex]5\pi = 15.70796327[/tex]

After 10 weeks of work, bob has $1200. After 15 weeks of work Bob has $1800. After 20 weeks of work Bob has $2400. Write the firs four terms of a sequence that represents this situation. Writ and equation to model the situation

Answers

Answer:

1200,1800,2400,3000

5x = 600x

Step-by-step explanation:

The first four terms would be

1200,1800,2400,3000

As we can see that

After 10 weeks of work bob has $1200

After 15 weeks of work, bob has $1,800

So the more the weeks would be, the more the earnings it is

And, the difference of the earnings is

= $1,800 -$1,200

= $600

The equation would be

5x = 600x

So if we assume x = 1

So

5 = 600

if we assume x = 2

So

10 = 1200

and so on

can someone help?? i’ll mark brainlist

Answers

Answer:

G. y = -[tex]\frac{1}{9}[/tex](x - 2)² -3

Step-by-step explanation:

There's this website called Desmos it has graphing calculators that will help you on these type of questions. This is not a random website so please trust me.

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