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

The asymptotes of f(x)=(2x^2+2x-4)/(x^2+x) is Vertical: x=-1,x=0,Horizontal: y=2

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

\frac{2 x ^{2} + 2 x - 4}{x ^{2} + x} : x = - 1, x = 0

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

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

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

\frac{x - 1}{x + 4}

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

f (x) = - \frac{3}{- 4 x - 10}

f (x) = \frac{x + 10}{x - 5}

What is the asymptotes of f(x)=(2x^2+2x-4)/(x^2+x) ?
The asymptotes of f(x)=(2x^2+2x-4)/(x^2+x) is Vertical: x=-1,x=0,Horizontal: y=2