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

The asymptotes of f(x)=(x^2-x-6)/(x^2-4) is Vertical: x=2,Horizontal: y=1

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

asymptotes

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

Vertical : x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} - x - 6}{x ^{2} - 4} : y = 1

Slant Asymptotes of

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

None

Vertical : x = 2, Horizontal : y = 1

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

f (x) = \frac{5 + x}{5 - x}

f (x) = \frac{x + 6}{x ^{2} - 3 x - 18}

\frac{4}{( x + 1 ) ^{2} - 1}

f (x) = \frac{( x ^{2} + 25 )}{x}

What is the asymptotes of f(x)=(x^2-x-6)/(x^2-4) ?
The asymptotes of f(x)=(x^2-x-6)/(x^2-4) is Vertical: x=2,Horizontal: y=1