Answer
$f^{-1}$(x)=$\frac{7-4x}{2x}$
Work Step by Step
f(x)=$\frac{7}{2x+4}$
y=$\frac{7}{2x+4}$
x=$\frac{7}{2y+4}$
x(2y+4)=7
2xy+4x=7
2xy=+7-4x
y=$\frac{7-4x}{2x}$
$f^{-1}$(x)=$\frac{7-4x}{2x}$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 12 - Section 12.2 - Inverse Functions - Exercise Set - Page 852: 36
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