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 - Chapter Review Exercises - Page 541: 1

Answer

$f^{-1}(x) = \frac{x+7}{1.4}$

Work Step by Step

$f(x) = 1.4x - 7$ Let $f(x) = y$ $y = 1.4x - 7$ Swap the variables $x$ and $y$ and then solve for $y$ to find the inverse: $x = 1.4y - 7$ $x + 7 = 1.4y$ $y = \frac{x+7}{1.4}$ $f^{-1}(x) = \frac{x+7}{1.4}$
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