Answer
$g^{-1}(x) = -\frac{x-20}{4}$
Work Step by Step
$g(x) =-4x+20$
Let $g(x) = y$
$y = -4x+20$
Swap the $x$ and $y$ variable to find the inverse:
$x = -4y+20$
$x - 20 = -4y$
$y = -\frac{x-20}{4}$
$g^{-1}(x) = -\frac{x-20}{4}$
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: 40
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