Answer
$f^{-1} (x) = x+6$
Work Step by Step
$f (x) = x-6$
Step 1: Replace $f (x)$ with $y$.
$$y = x-6$$
Step 2: Interchange $x$ with $y$.
$$x = y-6$$
Step 3: Solve for $y$.
$$y = x+6$$
Step 4: Replace $y$ with $f^{-1} (x)$.
$$f^{-1} (x) = x+6$$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321726391
ISBN 13:
978-0-32172-639-1
Chapter 12 - Section 12.2 - Inverse Functions - Practice - Page 848: 8
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