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: 57


a. $x^4-4x^2+6$ b. $x^4+4x^2+2$ c. $6$ d. $34$

Work Step by Step

Given $f(x)=x^2+2$ and $g(x)=x^2-2$, we have: a. $(f\circ g)(x)=(x^2-2)^2+2=x^4-4x^2+6$ b. $(g\circ f)(x)=(x^2+2)^2-2=x^4+4x^2+2$ c. $(f\circ g)(2)=(2)^4-4(2)^2+6=6$ d. $(g\circ f)(2)=(2)^4+4(2)^2+2=34$
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.