Answer
$-4x-2h+1.$
Work Step by Step
$\frac{f(x+h)-f(x)}{h}=\frac{(-2(x+h)^2+(x+h)+1)-(-2x^2+x+1)}{h}=\frac{(-2x^2-4xh-2h^2+x+h+1)+2x^2-x-1)}{h}=\frac{-4xh-2h^2+h}{h}=-4x-2h+1.$
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 2 - Functions and Their Graphs - Chapter Review - Review Exercises - Page 114: 15
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