Answer
$x$ and $y$ are not interchanged
Work Step by Step
The mistake is $x$ and $y$ are not interchanged after isolating $x$. It should be:
$$g(x)=\frac{x-5}{3}~~or~~g(x)=\frac{x}{3}-\frac{5}{3}$$
Big Ideas Math - Algebra 1, A Common Core Curriculum
by Larson, Ron; Boswell, Laurie
Published by
Big Ideas Learning LLC
ISBN 10:
978-1-60840-838-2
ISBN 13:
978-1-60840-838-2
Chapter 10 - Radical Functions and Equations - 10.4 - Inverse of a Function - Exercises - Page 573: 43
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