What is the asymptotes of f(x)=(x-5)/(x^2-4x-12) ?

The asymptotes of f(x)=(x-5)/(x^2-4x-12) is Vertical: x=-2,x=6,Horizontal: y=0

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asymptotes of f(x)=(x-5)/(x^2-4x-12)

asymptotes

f (x) = \frac{x - 5}{x ^{2} - 4 x - 12}

Vertical : x = - 2, x = 6, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x - 5}{x ^{2} - 4 x - 12} : x = - 2, x = 6

Horizontal Asymptotes of

\frac{x - 5}{x ^{2} - 4 x - 12} : y = 0

Slant Asymptotes of

\frac{x - 5}{x ^{2} - 4 x - 12} :

None

Vertical : x = - 2, x = 6, Horizontal : y = 0

\frac{1}{2 x ^{2} - x - 6}

9 - (x - 4)^{2}

f (x) = \frac{3 x ^{2} + 12 x}{x ^{2} + 5 x + 4}

f (x) = \frac{4}{x ^{2} - 3 x}

y = \frac{( x + 2 )}{3}

What is the asymptotes of f(x)=(x-5)/(x^2-4x-12) ?
The asymptotes of f(x)=(x-5)/(x^2-4x-12) is Vertical: x=-2,x=6,Horizontal: y=0