Answer
$\frac{-1}{(x+h)x}$
Work Step by Step
$\dfrac{\frac{1}{x+h}-\frac{1}{x}}{h}=\dfrac{\frac{x}{(x+h)x}-\frac{x+h}{x(x+h)}}{h}=\dfrac{\frac{x-(x+h)}{(x+h)x}}{h}=\frac{x-x-h}{h(x+h)x}=\frac{-h}{h(x+h)x}=\frac{-1}{(x+h)x}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Prerequisites - P.5 - Rational Expressions - Exercises - Page 49: 61
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