Answer
$-6x-3h+5$
Work Step by Step
$\frac{f(x+h)-f(x)}{h}=\frac{-3(x+h)^2+5(x+h)-2-(-3x^2+5x-2)}{h}=\frac{-3(x^2+2xh+h^2)+5x+5h-2+3x^2-5x+2}{h}=\frac{-3x^2-6xh-3h^2+5x+5h-2+3x^2-5x+2}{h}=\frac{-6xh-3h^2+5h}{h}=-6x-3h+5$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 7 - Cumulative Review - Page 541: 1
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