Answer
$\frac{2(x+1)}{x-1}$
Work Step by Step
$f(x)=2x-6$
$\frac{f(x)-f(-1)}{x-1}$
$=\frac{(2x-6)-(2(-1)-6)}{x-1}$
$=\frac{2x-6+8}{x-1}$
$=\frac{2x+2}{x-1}$
$=\frac{2(x+1)}{x-1}$
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