AnswersFL-1200330-Algebra 2 Sem 1 - FlexComposition of Functions

Composition of Functions Answers

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1
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What is f(f(x))?

A
x4 + 2x2 + 1
B
x4 + 2x2 + 2
C
x4 + 2
D
x4 + 1
2
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+ -2020✔ -40 x

A
-20
B
20
C
✔ -40
3

+ 50✔ -5025

A
50
B
✔ -50
C
25
4

What is f(g(13))?

A
16
B
26
C
32
D
The function is undefined.
5

What is f(g(0))?

A
-1
B
0
C
1
D
This composition is undefined.
6

Given: f(x) [image 1] and g(x) [image 2] The composite function [image 3] is X x² + 2x - 2x² + 2x✔ x² - 2.

Question illustration
A
X x² + 2x - 2
B
x² + 2x
C
✔ x² - 2
7

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.
Option D
8

h(g(f(x))) = ✔ -848 x²

Answers:
Selection 1:-8
Selection 2:-40
Selection 3:-50
9

Given: [image 1] .What are the restrictions on the domain of [image 2] ? [image 3]

Question illustration
Answer:

x ≥ 6

10

What is g(h(10))?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
11

Question text not available

Answers:
Selection 1:-8
Selection 2:-40
Selection 3:-50
12

Question text not available

Question illustration
Answer:

10

13

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

Answer:

The composite function is A(r(t)) = π(0.5 + 2t)²: substitute the radius function r(t) into the area function A(r).

14

What did you include in your answer?

A
Option
Option A
B
Option
Option B
C
Option
Option C

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Lesson 2.4: Composition of Functions