Answer
$\frac{f(a+h)-f(a)}{h}=-2$
Work Step by Step
We are given:
$f(x) = 5-2x$
We evaluate:
$f(a) = 5-2a$
$f(a+h) =5-2(a+h) = 5-2a-2h$
$\frac{f(a+h)-f(a)}{h}=\frac{5-2a-2h-(5-2a)}{h}=\frac{5-2a-2h-5+2a}{h}=\frac{-2h}{h}=-2$
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