### Compositions of Functions Using a Table Use the table below to find the compositions of the functions \( f(x) \) and \( g(x) \). #### Table of Values | \( x \) | -9 | -8 | -2 | -1 | 1 | 2 | 4 | 9 | |----------|----|----|----|----|----|---|---|---| | \( f(x) \) | -1 | -9 | 2 | 1 | 2 | 4 | 8 | 1 | | \( g(x) \) | 9 | -2 | 1 | 9 | 1 | 4 | -2 | 1 | #### Compositions to Solve 1. \( (f \circ g)(9) \) - Provided Answer: \( 9 \) ❌ 2. \( (g \circ f)(-1) \) - Provided Answer: \( 2 \) ❌ 3. \( (f \circ f)(-2) \) - Provided Answer: \( -162 \) ❌ 4. \( (g \circ g)(-8) \) - Provided Answer: \( -32 \) ❌ #### Instruction To compute the composition of two functions \( (f \circ g)(x) \), first find the value of \( g(x) \) then apply \( f \) to that result. You can use the options for help: - Question Help: Post to forum Click **Submit Question** when you have your answers. ### Note: The ❌ symbol indicates that the provided answer for each composition is incorrect. Re-evaluate each composition using the table above.
### Compositions of Functions Using a Table Use the table below to find the compositions of the functions \( f(x) \) and \( g(x) \). #### Table of Values | \( x \) | -9 | -8 | -2 | -1 | 1 | 2 | 4 | 9 | |----------|----|----|----|----|----|---|---|---| | \( f(x) \) | -1 | -9 | 2 | 1 | 2 | 4 | 8 | 1 | | \( g(x) \) | 9 | -2 | 1 | 9 | 1 | 4 | -2 | 1 | #### Compositions to Solve 1. \( (f \circ g)(9) \) - Provided Answer: \( 9 \) ❌ 2. \( (g \circ f)(-1) \) - Provided Answer: \( 2 \) ❌ 3. \( (f \circ f)(-2) \) - Provided Answer: \( -162 \) ❌ 4. \( (g \circ g)(-8) \) - Provided Answer: \( -32 \) ❌ #### Instruction To compute the composition of two functions \( (f \circ g)(x) \), first find the value of \( g(x) \) then apply \( f \) to that result. You can use the options for help: - Question Help: Post to forum Click **Submit Question** when you have your answers. ### Note: The ❌ symbol indicates that the provided answer for each composition is incorrect. Re-evaluate each composition using the table above.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question

Transcribed Image Text:### Compositions of Functions Using a Table
Use the table below to find the compositions of the functions \( f(x) \) and \( g(x) \).
#### Table of Values
| \( x \) | -9 | -8 | -2 | -1 | 1 | 2 | 4 | 9 |
|----------|----|----|----|----|----|---|---|---|
| \( f(x) \) | -1 | -9 | 2 | 1 | 2 | 4 | 8 | 1 |
| \( g(x) \) | 9 | -2 | 1 | 9 | 1 | 4 | -2 | 1 |
#### Compositions to Solve
1. \( (f \circ g)(9) \)
- Provided Answer: \( 9 \) ❌
2. \( (g \circ f)(-1) \)
- Provided Answer: \( 2 \) ❌
3. \( (f \circ f)(-2) \)
- Provided Answer: \( -162 \) ❌
4. \( (g \circ g)(-8) \)
- Provided Answer: \( -32 \) ❌
#### Instruction
To compute the composition of two functions \( (f \circ g)(x) \), first find the value of \( g(x) \) then apply \( f \) to that result.
You can use the options for help:
- Question Help: Post to forum
Click **Submit Question** when you have your answers.
### Note:
The ❌ symbol indicates that the provided answer for each composition is incorrect. Re-evaluate each composition using the table above.
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images

Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education