Answer
$-4x-2h+1$
Work Step by Step
$\frac{f(x+h)-f(x)}{h}=\frac{-2(x+h)^2+(x+h)+1-(-2x^2+x+1)}{h}=\frac{-2x^2-4xh-2h^2+x+h+1+2x^2-x-1}{h}=\frac{-4xh-2h^2+h}{h}=-4x-2h+1$
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