Algebra and Trigonometry 10th Edition

Published by Cengage Learning

Chapter 2 - 2.7 - Inverse Functions - 2.7 Exercises - Page 229: 72

Answer

$f^{-1} (x)=x+5$ Domain of the function $f$ is: $[5, \infty)$. Domain of the inverse of function $f$ is: $[0, \infty)$.

Work Step by Step

We have $y=|x-5|=x-5$ or, $x=y-5$ or, $y=x+5$ Replace $y$ with $f^{-1} (x)$. so, $f^{-1} (x)=x+5$

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