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The exercise is titled "Worksheet 10" from a course on canvas.okstate.edu. **Problem Statement:** 2. Determine if the functions \( f(x) = \frac{x + 6}{2} \) and \( g(x) = 2(x - 6) \) are inverses using composition of functions. State if the functions are inverses or if the functions are not inverses. Show all work. **No graphs or diagrams are present in the image.** This exercise instructs students to verify if two given functions are inverse functions by composing them and checking if they satisfy the property of inverse functions: \( f(g(x)) = x \) and \( g(f(x)) = x \).

The exercise is titled "Worksheet 10" from a course on canvas.okstate.edu. **Problem Statement:** 2. Determine if the functions \( f(x) = \frac{x + 6}{2} \) and \( g(x) = 2(x - 6) \) are inverses using composition of functions. State if the functions are inverses or if the functions are not inverses. Show all work. **No graphs or diagrams are present in the image.** This exercise instructs students to verify if two given functions are inverse functions by composing them and checking if they satisfy the property of inverse functions: \( f(g(x)) = x \) and \( g(f(x)) = x \).

Algebra and Trigonometry (6th Edition)
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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The exercise is titled "Worksheet 10" from a course on canvas.okstate.edu. **Problem Statement:** 2. Determine if the functions \( f(x) = \frac{x + 6}{2} \) and \( g(x) = 2(x - 6) \) are inverses using composition of functions. State if the functions are inverses or if the functions are not inverses. Show all work. **No graphs or diagrams are present in the image.** This exercise instructs students to verify if two given functions are inverse functions by composing them and checking if they satisfy the property of inverse functions: \( f(g(x)) = x \) and \( g(f(x)) = x \).
Transcribed Image Text:The exercise is titled "Worksheet 10" from a course on canvas.okstate.edu. **Problem Statement:** 2. Determine if the functions \( f(x) = \frac{x + 6}{2} \) and \( g(x) = 2(x - 6) \) are inverses using composition of functions. State if the functions are inverses or if the functions are not inverses. Show all work. **No graphs or diagrams are present in the image.** This exercise instructs students to verify if two given functions are inverse functions by composing them and checking if they satisfy the property of inverse functions: \( f(g(x)) = x \) and \( g(f(x)) = x \).
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