Answer
$\frac{\sqrt{x+2}-\sqrt{3}}{x-1}$
Work Step by Step
We are given the function $f(x)=\sqrt{x+2}$
$\frac{f(x)-f(1)}{x-1}=\frac{\sqrt{x+2}-\sqrt{1+2}}{x-1}=\frac{\sqrt{x+2}-\sqrt{3}}{x-1}$
Calculus: Early Transcendentals 9th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1337613924
ISBN 13:
978-1-33761-392-7
Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 19: 38
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