Answer
$f(g(x))=3 x^3-4$
Work Step by Step
Given $f(x)=3 x-7$ and $g(x)=x^3+1$.
We have
$$
f(g(x))=f\left(x^3+1\right)=3\left(x^3+1\right)-7=3 x^3-4
$$
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 - Review Exercises and Problems for Chapter Two - Page 110: 22
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