Answer
$\frac{f(x)-f(a)}{x-a}=-\frac{1}{ax}$
Work Step by Step
$\frac{f(x)-f(a)}{x-a}=\frac{\frac{1}{x}-\frac{1}{a}}{x-a}
=\frac{\frac{a}{ax}-\frac{x}{ax}}{x-a}
=\frac{a-x}{-ax(a-x)}
=-\frac{1}{ax}$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 21: 29
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