#### Answer

$f^{-1}(x) = \frac{4x}{1 - x}$

#### Work Step by Step

$f(x) = \frac{x}{x + 4}$
$y = \frac{x}{x + 4}$
y(x + 4) = x
yx + 4y = x
4y = x - yx
4y = x(1 - y)
$x = \frac{4y}{1 - y}$
$f^{-1}(x) = \frac{4x}{1 - x}$

Published by
Brooks Cole

ISBN 10:
1305115546

ISBN 13:
978-1-30511-554-5

$f^{-1}(x) = \frac{4x}{1 - x}$

You can help us out by revising, improving and updating this answer.

Update this answerAfter you claim an answer you’ll have **24 hours** to send in a draft. An editor
will review the submission and either publish your submission or provide feedback.