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: 36

Answer

$f^{-1}(x) = \frac{x-7}{5}$

Work Step by Step

$f(x) = 5x+7$ Let $f(x) = y$: $y = 5x + 7$ Switch the variables $x$ and $y$ to find the inverse: $x = 5y + 7$ $x - 7 = 5y$ $y = \frac{x-7}{5}$ $f^{-1}(x) = \frac{x-7}{5}$
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