Answer
$2a-2+h$
Work Step by Step
Given $f(x) = x^{2}-2x+3$
$\frac{f(a+h)-f(a)}{h} = \frac{(a+h)^{2}-2(a+h)+3-(a^{2}-2a+3)}{h} = \frac{a^{2}+2ah+h^{2}-2a-2h+3-a^{2}+2a-3}{h} = \frac{2ah+h^{2}-2h}{h} = 2a+h-2 = 2a-2+h$
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 1 - Functions and Limits - Review - Exercises - Page 96: 3
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