Answer
$\frac{c}{c-2}$
Work Step by Step
We multiply by $c-1$ and simplify:
$\displaystyle \frac{1+\frac{1}{c-1}}{1-\frac{1}{c-1}}=\frac{(c-1)(1+\frac{1}{c-1})}{(c-1)(1-\frac{1}{c-1})}=\frac{c-1+1}{c-1-1}=\frac{c}{c-2}$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter P, Prerequisites - Section P.7 - Rational Expressions - P.7 Exercises - Page 51: 62
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