What is the asymptotes of f(x)=(x-4)/(x^2-2x-8) ?

The asymptotes of f(x)=(x-4)/(x^2-2x-8) is Vertical: x=-2,Horizontal: y=0

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asymptotes of f(x)=(x-4)/(x^2-2x-8)

asymptotes

f (x) = \frac{x - 4}{x ^{2} - 2 x - 8}

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

Solution steps

Vertical asymptotes of

\frac{x - 4}{x ^{2} - 2 x - 8} : x = - 2

Horizontal Asymptotes of

\frac{x - 4}{x ^{2} - 2 x - 8} : y = 0

Slant Asymptotes of

\frac{x - 4}{x ^{2} - 2 x - 8} :

None

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

f (x) = 3 x + 9 x^{2} - x

\frac{5 x}{x ^{2} + 1}

\frac{3}{( x - 2 ) ( x + 2 )}

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

f (x) = \frac{x ^{2} - 2 x - 8}{x - 4}

What is the asymptotes of f(x)=(x-4)/(x^2-2x-8) ?
The asymptotes of f(x)=(x-4)/(x^2-2x-8) is Vertical: x=-2,Horizontal: y=0