What is the asymptotes of f(x)=(2x^2-3x-2)/(x^2-4) ?

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

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asymptotes of f(x)=(2x^2-3x-2)/(x^2-4)

asymptotes

f (x) = \frac{2 x ^{2} - 3 x - 2}{x ^{2} - 4}

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

\frac{2 x ^{2} - 3 x - 2}{x ^{2} - 4} :

None

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

x - 2 y = 12, (- 8, - 7)

f (x) = \frac{x}{x ^{2} + 6 x + 8}

y = x^{2} - 2 x - 3

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

2 x - 3 y = 12

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