Answer
$2x+h+3$
Work Step by Step
Step 1. Given $f(x)=x^2+3x+2$, we have $f(x+h)=(x+h)^2+3(x+h)+2=x^2+2xh+h^2+3x+3h+2$
Step 2. We have $f(x+h)-f(x)=2xh+h^2+3h$
Step 3. Thus $\frac{f(x+h)-f(x)}{h}=2x+h+3$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 1 - Section 1.6 - Transformations of Functions - Exercise Set - Page 245: 155
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