Answer
$\frac{f(a+h)-f(a)}{h}=-2$
Work Step by Step
We are given:
$f(x) = 5-2x$
We evaluate:
$f(a) = 5-2a$
$f(a+h) =5-2(a+h) = 5-2a-2h$
$\frac{f(a+h)-f(a)}{h}=\frac{5-2a-2h-(5-2a)}{h}=\frac{5-2a-2h-5+2a}{h}=\frac{-2h}{h}=-2$
College Algebra 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305115546
ISBN 13:
978-1-30511-554-5
Chapter 2, Functions - Section 2.1 - Functions - 2.1 Exercises - Page 193: 43
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