Answer
$\frac{-1}{x-1}$
Work Step by Step
1. $1-\frac{1}{x}=\frac{x-1}{x}$
2. $1-\frac{1}{1-\frac{1}{x}}=1-\frac{x}{x-1}=\frac{-1}{x-1}$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.6 Rational Expressions - A.6 Assess Your Understanding - Page A54: 81
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