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 - 6.1 Functions and Their Inverses - 6.1 Exercises: 46

Answer

$W^{-1}(x) = \frac{x-3.7}{2.4}$

Work Step by Step

$W(x) = 2.4x + 3.7$ Let $W(x) = y$: $y = 2.4x + 3.7$. Switch the variables $x$ and $y$ to find the inverse and solve for $y$: $x = 2.4y + 3.7$ $x - 3.7 = 2.4y$ $y = \frac{x-3.7}{2.4}$ $W^{-1}(x) = \frac{x-3.7}{2.4}$.
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