Answer
$-6x+5-3h$
Work Step by Step
1. Given $f(x)=-3x^2+5x-2$, we have $f(x+h)=-3(x+h)^2+5(x+h)-2$ and
$f(x+h)-f(x)=-3(x+h)^2+5(x+h)-2-(-3x^2+5x-2)=-6xh+5h-3h^2$
2. We have $\frac{f(x+h)-f(x)}{h}=-6x+5-3h$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 9 - Analytic Geometry - Cumulative Review - Page 720: 1
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