Answer
$2x+h-5$
Work Step by Step
Step 1. Given $f(x)=x^2-5x+3$, we have $f(x+h)=(x+h)^2-5(x+h)+3=x^2+2xh+h^2-5x-5h+3$
Step 2. $f(x+h)-f(x)=x^2+2xh+h^2-5x-5h+3-(x^2-5x+3)=2xh+h^2-5h$
Step 3. Thus $\frac{f(x+h)-f(x)}{h}=2x+h-5$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 2 - Graphs and Functions - Chapter 2 Test Prep - Review Exercises - Page 299: 112
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