Answer
$-2x-h-2$
Work Step by Step
$\frac{f(x+h)-f(x)}{h}=\frac{-(x+h)^2-2(x+h)+1-(-x^2-2x+1)}{h}=\frac{-x^2-2xh-h^2-2x-2h+1+x^2+2x-1}{h}=\frac{-2xh-h^2-2h}{h}=-2x-h-2$
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