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: 43

Answer

$h^{-1}(x) = \frac{x+1.6 }{0.4}$

Work Step by Step

$h(x) = 0.4x - 1.6$ Let $h(x) = y$: $y = 0.4x - 1.6$. Switch the variables $x$ and $y$ to find the inverse and solve for $y$: $x = 0.4y - 1.6$ $x + 1.6 = 0.4y$ $y = \frac{x+1.6 }{0.4}$ $h^{-1}(x) = \frac{x+1.6 }{0.4}$.
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