Answer
H.A. $y=3$, V.A. $x=7$.
Work Step by Step
$R(x)=\frac{3x^2-12}{x^2-5x-14}=\frac{3(x^2-4)}{(x+2)(x-7)}=\frac{3(x+2)(x-2)}{(x+2)(x-7)}=\frac{3x-6}{x-7}$, thus we have H.A. $y=3$, V.A. $x=7$.
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