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,...
icon
Related questions
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.

steps

Step by step

Solved in 4 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education