Answer
$2+h$
Work Step by Step
$\frac{f(2+h)-f(2)}{h}=\frac{((2+h)^2-2(2+h)+4)-(2^2-2(2)+4)}{h}=\frac{(4+4h+h^2-4-2h+4)-(4-4+4)}{h}=\frac{2h+h^2}{h}=2+h$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 2 - 2.2 - Functions - 2.2 Exercises - Page 186: 73
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