Answer
$2x+h+2$
Work Step by Step
$\frac{f(x+h)-f(x)}{h}=\frac{(x+h)^2+2(x+h)-3-(x^2+2x-3)}{h}=\frac{(x^2+2xh+h^2)+2x+2h-3-(x^2+2x-3)}{h}=\frac{(2xh+h^2+2h)}{h}=2x+h+2$
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