Let f(x) = 6x - 7 and g(x) = 6x + 4. (a) Find f(g(x)). f(g(x)) = (b) Find g(f(x)). g(f(x)) =

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,...
Question
**Function Composition Exercise**

Let \( f(x) = 6x - 7 \) and \( g(x) = 6x + 4 \).

**(a) Find \( f(g(x)) \).**

\[ f(g(x)) = \underline{\hspace{2cm}} \]

**(b) Find \( g(f(x)) \).**

\[ g(f(x)) = \underline{\hspace{2cm}} \]
Transcribed Image Text:**Function Composition Exercise** Let \( f(x) = 6x - 7 \) and \( g(x) = 6x + 4 \). **(a) Find \( f(g(x)) \).** \[ f(g(x)) = \underline{\hspace{2cm}} \] **(b) Find \( g(f(x)) \).** \[ g(f(x)) = \underline{\hspace{2cm}} \]
Expert Solution
Step 1: Function value of f(x) and g(x).

Given, f(x)=6x-7 and g(x)=6x+4.

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