Answer
$y=\frac{2 x+1}{x-2}$
Work Step by Step
First we multiply both sides by $y-2$ and get $x(y-2)=2 y+1$.
$$
\begin{aligned}
x y-2 x & =2 y+1 \\
x y-2 y & =2 x+1 \\
y(x-2) & =2 x+1 \\
y & =\frac{2 x+1}{x-2}
\end{aligned}
$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 2 - Functions - 2.5 Preview of Composite and Inverse Functions - Exercises and Problems for Section 2.5 - Skill Refresher - Page 101: S3
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