Answer
$g^{-1}(x)=6-x$
Work Step by Step
1. replace g(x) with y
$y=6-x$
2. interchange x and y
$ x=6-y$
3. solve for y
$x+y=6$
$y=6-x$
4. replace y with $g^{-1}(x)$
$g^{-1}(x)=6-x$
Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)
by Bittinger, Marvin L.; Ellenbogen, David J.; Johnson, Barbara L.
Published by
Pearson
ISBN 10:
0-32184-874-8
ISBN 13:
978-0-32184-874-1
Chapter 12 - Exponential Functions and Logarithmic Functions - Mid-Chapter Review - Mixed Review - Page 812: 5
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