Answer
$x+2$
Domain of the function $f$ is: $[ 2, \infty)$.
Domain of the inverse of function $f$ is: $[0, \infty)$.
Work Step by Step
We have $y=|x-2|=x-2$
or, $x=y-2$
or, $y=x+2$
Replace $y$ with $f^{-1} (x)$.
so, $f^{-1} (x)=x+2$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 2 - Review Exercises - Page 234: 72
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