Answer
(a) $1-x^2-2xh-h^2$
(b) $-2xh-h^2$
(c) $-2x-h$
Work Step by Step
(a) Given $f(x)=1-x^2$, we have $f(x+h)=1-(x+h)^2=1-x^2-2xh-h^2$
(b) $f(x+h)-f(x)=1-(x+h)^2-1+x^2=-2xh-h^2$
(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: 53
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