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

\frac{x}{x ^{2} + 10 x + 24}

y = - 2 x + 8

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

f (x) = \frac{x - 5}{x - 11}

(4.2) (- 1.7)

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