College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Functions and Graphs - Exercise Set 2.7 - Page 309: 57

Answer

$f^{-1}(g(10)) = 2$

Work Step by Step

1. $f^{-1}(g(10))$ $g(10) = -1$ $f^{-1}(-1) = 2$ For the inverse, remember that the $x$ and $y$ (In this case, $f(x)$) switches positions. So $f(x) = -1$ and $x = 2$ is swapped when you have the inverse function.
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