Answer
$f(g(0))=1$
Work Step by Step
First, find $g(0)$. Input $x=0$ into $g(x)$ to get $g(0)=1-0^2=1$. Now, use $g(0)$, or $1$, in $f(x)$ to get $f(g(0))=f(1)=3(1)-1=2$.
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: 5
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