Answer
$f^{-1}(x) = \frac{1}{x}$
Work Step by Step
$f(x) = \frac{1}{x}$
Let $f(x) = y$
$y = \frac{1}{x}$
Swap $x$ and $y$ and then solve for $y$ to find the inverse:
$x = \frac{1}{y}$
$xy = 1$
$y = \frac{1}{x}$
$f^{-1}(x) = \frac{1}{x}$
Trigonometry 7th Edition
by McKeague, Charles P.; Turner, Mark D.
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 497: 41
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