Answer
$f^{-1}(x) = \frac{x-12}{2}$
Work Step by Step
$f(x) = 2x+ 12$
Let $f(x) = y$
$y = 2x + 12$
Swap the $x$ and $y$ variable to find the inverse:
$x = 2y + 12$
$x - 12 = 2y$
$y = \frac{x-12}{2}$
$f^{-1}(x) = \frac{x-12}{2}$
Intermediate Algebra: Connecting Concepts through Application
by Clark, Mark; Anfinson, Cynthia
Published by
Brooks Cole
ISBN 10:
0-53449-636-9
ISBN 13:
978-0-53449-636-4
Chapter 6 - Logarithmic Functions - 6.3 Graphing Logarithmic Functions - 6.3 Exercises - Page 511: 39
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