### 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,...
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