Answer
$-\frac{1}{x-1}$
Work Step by Step
We reduce to find:
$1-\dfrac{1}{1-\frac{1}{x}}=1-\dfrac{1}{\frac{x}{x}-\frac{1}{x}}=1-\dfrac{1}{\frac{x-1}{x}}=1-\frac{x}{x-1}=\frac{x-1}{x-1}-\frac{x}{x-1}=-\frac{1}{x-1}$
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: 83
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