Answer
$g(f(x))=2 x^2+5$.
Work Step by Step
$f(x)=x^2+1$
$g(x)=2x+3$
$g(f(x))=g\left(x^2+1\right)=2\left(x^2+1\right)+3=2 x^2+5$.
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: 31
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