Answer
(a) $1+2x^2+4xh+2h^2$
(b) $4xh+2h^2$
(c) $4x+2h$
Work Step by Step
(a) Given $f(x)=1+2x^2$, we have $f(x+h)=1+2(x+h)^2=1+2x^2+4xh+2h^2$
(b) $f(x+h)-f(x)=1+2x^2+4xh+2h^2-1-2x^2=4xh+2h^2$
(c) $\frac{f(x+h)-f(x)}{h}=4x+2h$
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 - 2.8 Function Operations and Composition - 2.8 Exercises - Page 289: 54
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