Quiz about Composite Functions Less

Question 1

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

Accepted Answer

f(g(x))= -6x²+31

Answer

f(g(x))= -6x²+24

Answer

f(g(x))=18x²-84x+6

Answer

f(g(x))=9x²-42x-1

Question 2

What is f(g(3))?

Accepted Answer

1/8

Answer

8

Answer

1/4

Answer

1/2

Question 3

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

Accepted Answer

None of these.

Answer

-42

Answer

-26

Answer

-18

Question 4

Which one is the same as $$\left(f\circ g\right)\left(-7\right)?$$

Accepted Answer

f(g(-7))

Answer

(f)(-7)(g)(-7)

Answer

(fg(-7))

Answer

g(f(-7))

Question 5

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

Accepted Answer

7

Answer

-14

Answer

20

Answer

6

Question 6

Given f(x) = 3x + 10
and g(x) = x - 2
Find f(g(5))

Accepted Answer

19

Answer

23

Answer

-10

Answer

None of these.

Question 7

Given f(x) = 2x and
g(x) = x²+3 , find f(g(x)).

Accepted Answer

2x2+6

Answer

x2+2x+3

Answer

4x2+3

Answer

2x2+3

Question 8

Find the domain of f(g(x))

Accepted Answer

{1,6,7}

Answer

{3,4,7}

Answer

{1,2,5}

Answer

{3,4,8,9}

Question 9

Find the domain of g(f(x))

Accepted Answer

{3,6,8,9}

Answer

{2,3,5,6,8,9}

Answer

{1,3,5,7,8,}

Answer

{1,3,8}

Question 10

Robert is a stuntman planning to jump off a bicycle ramp and over an array of trucks. He modeled a few relationships. Which of the following composite functions represents the distance of Roberts jump as a function of the height of the ramp?

Accepted Answer

$$D\left(S\left(r\right)\right)$$

Answer

$$S\left(D\left(k\right)\right)$$

Answer

$$S\left(T\left(k\right)\right)$$

Answer

$$T\left(S\left(r\right)\right)$$

Question 11

Bart is gift wrapping cube-shaped boxes for his class fundraiser. He has modeled the following relationships. (See image) Which 2 of the following composed functions make sense in this context

Accepted Answer

$$P\left(S\left(m\right)\right)$$

Accepted Answer

$$R\left(S\left(m\right)\right)$$

Answer

$$R\left(P\left(a\right)\right)$$

Answer

$$S\left(R\left(x\right)\right)$$

Question 12

Question 12.

Accepted Answer

6x - 3

Answer

6x2 - 1

Answer

5x - 1

Answer

6x2 - 3x

Composite Functions Less

20 questions

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

What is f(g(3))?

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).

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Composite Functions Less

20 questions

Given f(x)= -3x+7 and g(x)=2x2 - 8, find f(g(x)).

What is f(g(3))?

f(x) = 3x + 10g(x) = x - 2Find g(f(-10))

f(x) = 3x + 10g(x) = x - 2Find (f∘g)(0)

Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Given f(x)= -3x+7 and g(x)=2x² - 8, find f(g(x)).

f(x) = 3x + 10
g(x) = x - 2
Find g(f(-10))

f(x) = 3x + 10
g(x) = x - 2
Find (f∘g)(0)

Given that f(x) = x² + x and g(x) = 3x + 1, find the value of g(f(-2)).