Trigonometry 7th Edition

Published by Cengage Learning
ISBN 10: 1111826854
ISBN 13: 978-1-11182-685-7

Appendix A - Section A.2 - The Inverse of a Function - A.2 Problem Set - Page 496: 18

Answer

$f^{-1}(x) = 2x - 7$

Work Step by Step

$f(x) = \frac{x+7}{2}$ Let $f(x) = y$ $y = \frac{x+7}{2}$ $x = \frac{y+7}{2}$ $2x = y + 7$ $2x - 7 = y$ $y = 2x - 7$ $f^{-1}(x) = 2x - 7$
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