Answer
$f(g(2))=-10$
Work Step by Step
First, find $g(2)$ by inserting $x=2$ into $g(x)$ to get $g(2)=1-2^2=1-4=-3$. Next, use $g(2)$ as $x$ in $f(x)$ to get $f(g(2))=f(3)=3(-3)-1=-10$.
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: 8
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