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

The asymptotes of f(x)=(2x^2)/(x^2+x-6) is Vertical: x=-3,x=2,Horizontal: y=2

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

asymptotes

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

Vertical : x = - 3, x = 2, Horizontal : y = 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{2}}{x ^{2} + x - 6} : x = - 3, x = 2

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - 3, x = 2, Horizontal : y = 2

f (x) = x^{2} - 1

f (x) = \frac{2 x + 1}{x - 2}

\frac{x - 3}{x ^{2} - 9}

f (x) = \frac{x + 1}{x + 2}

f (x) = \frac{x ^{2} - 5 x}{2 x ^{2} + 7 x}

What is the asymptotes of f(x)=(2x^2)/(x^2+x-6) ?
The asymptotes of f(x)=(2x^2)/(x^2+x-6) is Vertical: x=-3,x=2,Horizontal: y=2