Answer
$\frac{1}{x}$
Work Step by Step
$1-\dfrac{1}{1-\frac{1}{1-x}}=1-\dfrac{1}{\frac{1-x}{1-x}-\frac{1}{1-x}}=1-\dfrac{1}{\frac{-x}{1-x}}=1-\frac{1-x}{-x}=\frac{x}{x}+\frac{1-x}{x}=\frac{1}{x}$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter R - Section R.7 - Rational Expressions - R.7 Assess Your Understanding - Page 72: 84
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