Composition of Functions Answers

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1
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What is f(g(13))?

A
16
B
26
C
32
D
The function is undefined.
2
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Question text not available

Answer not available
4

What are the restrictions of the domain of f(g(x))?

A
x -5
Option A
B
x -3
Option B
C
x 2
Option C
D
There are no restrictions.
5

h(g(f(x))) = x² + x +

Answers:
Selection 1:-8
Selection 2:-40
Selection 3:-50
6

+ x

Answer not available
7

+

Answer not available
17

What is f(f(x))?

A
x4 + 2x2 + 1
B
x4 + 2x2 + 2
C
x4 + 2
D
x4 + 1
19

What is g(h(10))?

A
mc001-1.jpg
Option A
B
mc001-2.jpg
Option B
C
mc001-3.jpg
Option C
D
mc001-4.jpg
Option D
20

es001-1.jpg

Question illustration
Answer:

10

21

Explain how to write a composite function to find the area of the region at time t.

Answer:

To write a composite function for the area at time t, you first identify the area formula as a function of the radius, A(r) = πr², and the radius as a function of time, r(t). Then, you substitute the expression for r(t) into the area formula in place of the variable r. This creates the composition A(r(t)), which can be written as A(r(t)) = π(r(t))².

22

What did you include in your answer?

A
mr001-1.jpg
Option A
B
mr001-2.jpg
Option B
C
mr001-3.jpg
Option C

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