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

The asymptotes of f(x)=(x^2+x-12)/(x^2-4) is Vertical: x=-2,x=2,Horizontal: y=1

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

asymptotes

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

Vertical : x = - 2, x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} + x - 12}{x ^{2} - 4} : y = 1

Slant Asymptotes of

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

None

Vertical : x = - 2, x = 2, Horizontal : y = 1

f (x) = 2 x - 4

f (x) = x^{3} - 1

x + 4

y = (3 x + 4)^{2}

f (x) = 3 x + 1

What is the asymptotes of f(x)=(x^2+x-12)/(x^2-4) ?
The asymptotes of f(x)=(x^2+x-12)/(x^2-4) is Vertical: x=-2,x=2,Horizontal: y=1