Intermediate Algebra: Connecting Concepts through Application

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: 40

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: $x = -4y+20$ $x - 20 = -4y$ $y = -\frac{x-20}{4}$ $g^{-1}(x) = -\frac{x-20}{4}$
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