What is the asymptotes of f(x)=(x-4)/(x^2-x-6) ?

The asymptotes of f(x)=(x-4)/(x^2-x-6) is Vertical: x=-2,x=3,Horizontal: y=0

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asymptotes of f(x)=(x-4)/(x^2-x-6)

asymptotes

f (x) = \frac{x - 4}{x ^{2} - x - 6}

Vertical : x = - 2, x = 3, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x - 4}{x ^{2} - x - 6} : x = - 2, x = 3

Horizontal Asymptotes of

\frac{x - 4}{x ^{2} - x - 6} : y = 0

Slant Asymptotes of

\frac{x - 4}{x ^{2} - x - 6} :

None

Vertical : x = - 2, x = 3, Horizontal : y = 0

f (x) = \frac{3 x - 21}{x ^{2} - 8 x + 7}

f (x) = \frac{x ( 1 + 3 x )}{x ^{2} + x - 2}

f (x) = \frac{1}{x ^{2} - 9 x + 20}

16 y = 2 x^{2} + y x^{2}

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

What is the asymptotes of f(x)=(x-4)/(x^2-x-6) ?
The asymptotes of f(x)=(x-4)/(x^2-x-6) is Vertical: x=-2,x=3,Horizontal: y=0