Answer
$\dfrac{x+9}{2x-1}, x\ne \dfrac{1}{2}$
Work Step by Step
Since the denominators are the same, we have
$$
\frac{3x+5}{2x-1}-\frac{2x-4}{2x-1}=\frac{3x+5-2x+4}{2x-1}=\frac{x+9}{2x-1}
$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.6 Rational Expressions - A.6 Assess Your Understanding - Page A53: 41
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