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

The asymptotes of f(x)=(2x^2+2x-12)/(x^2+x) is Vertical: x=-1,x=0,Horizontal: y=2

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

asymptotes

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

Vertical : x = - 1, x = 0, Horizontal : y = 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 2 x - 12}{x ^{2} + x} : x = - 1, x = 0

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Vertical : x = - 1, x = 0, Horizontal : y = 2

\frac{x}{x - 5}

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

f (x) = \frac{x ^{2} - 49}{x - 7}

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

f (x) = \frac{3 x ^{2}}{x ^{2} + 16}

What is the asymptotes of f(x)=(2x^2+2x-12)/(x^2+x) ?
The asymptotes of f(x)=(2x^2+2x-12)/(x^2+x) is Vertical: x=-1,x=0,Horizontal: y=2