Answer
$\frac{x+1}{1-2x}$
Work Step by Step
We factor out $x$ and simplify:
$\displaystyle \frac{1+\frac{1}{x}}{\frac{1}{x}-2}=\frac{x(1+\frac{1}{x})}{x(\frac{1}{x}-2)}=\frac{x+1}{1-2x}$
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: 59
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