Answer
$f^{-1}(x)=x-3$
Work Step by Step
$f(x)=x+3,$
$y=x+3$
a. $x=y+3,$
$x-3=y,$
$f^{-1}(x)=x-3,$
b.
$f(f^{-1}(x)))=x-3+3=x$
and
$f^{-1}(f(x))=x+3-3=x$.
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 9 - Section 9.2 - Composite and Inverse Functions - Exercise Set - Page 687: 25
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