Answer
See below.
Work Step by Step
We need to show that $f(g(x))=x=g(f(x))$
$f(g(x))=f(0.5x-1.5)=2(0.5x-1.5)+3=x-3+3=x$
$g(f(x))=g(2x+3)=0.5(2x+3)-1.5=x+1.5-1.5=x$
Thus we proved what we had to.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 6 Rational Exponents and Radical Functions - 6.4 Use Inverse Functions - 6.4 Exercises - Skill Practice - Page 443: 16
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