Functions Modeling Change: A Preparation for Calculus, 5th Edition

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: 7

Answer

$g(f(2))=-24$

Work Step by Step

First, find $f(2)$. Input $x=2$ into $f(x)$ to get $f(2)=3(2)-1=5$. Next, insert $f(2)$ as $x$ into $g(x)$ to get $g(f(2))=g(5)=1-5^2=1-25=-24$.
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