Answer
$\frac{3x-1}{2x+1}$
Work Step by Step
We simplify as follows:
$\frac{2(x-1)^{-1}+3}{3(x-1)^{-1}+2}$
$=\frac{\frac{2}{x-1}+\frac{3(x-1)}{x-1}}{\frac{3}{x-1}+\frac{2(x-1)}{x-1}}$
$=\frac{2+3(x-1)}{3+2(x-1)}$
$=\frac{3x-1}{2x+1}$
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: 85
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