Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 1 - Section 1.7 - Combinations of Functions; Composite Functions - Exercise Set - Page 258: 55


a. $20x^2-11$ b. $80x^2-120x+43$ c. $69$ d. $123$

Work Step by Step

Given $f(x)=4x-3$ and $g(x)=5x^2-2$, we have: a. $(f\circ g)(x)=4(5x^2-2)-3=20x^2-11$ b. $(g\circ f)(x)=5(4x-3)^2-2=5(16x^2-24x+9)-2=80x^2-120x+43$ c. $(f\circ g)(2)=20(2)^2-11=69$ d. $(g\circ f)(2)=80(2)^2-120(2)+43=123$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.