Answer
$g(g(x))=2 x^2-x^4$
Work Step by Step
Given $f(x)=3 x-1$ and $g(x)=1-x^2$, we have
$g(g(x))=g\left(1-x^2\right)=1-\left(1-x^2\right)^2=2 x^2-x^4$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Exercises and Problems - Page 102: 12
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