Answer
(a) $x^2+2xh+h^2$
(b) $2xh+h^2$
(c) $2x+h$
Work Step by Step
(a) Given $f(x)=x^2$, we have $f(x+h)=(x+h)^2=x^2+2xh+h^2$
(b) $f(x+h)-f(x)=(x+h)^2-x^2=2xh+h^2$
(c) $\frac{f(x+h)-f(x)}{h}=2x+h$
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: 51
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