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

The asymptotes of f(x)=(x^3-4x)/(x^2+x) is Vertical: x=-1,Slant: y=x-1

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

asymptotes

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

Vertical : x = - 1, Slant : y = x - 1

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 4 x}{x ^{2} + x} : x = - 1

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{3} - 4 x}{x ^{2} + x} : y = x - 1

Vertical : x = - 1, Slant : y = x - 1

\frac{1}{4} \cdot 2^{x} - 7

y = - x

\frac{x - 1}{x + 3}

f (x) = \frac{100}{x ^{2}}

f (x) = (\frac{x}{3} + \frac{6}{3})^{\frac{1}{3}}

What is the asymptotes of f(x)=(x^3-4x)/(x^2+x) ?
The asymptotes of f(x)=(x^3-4x)/(x^2+x) is Vertical: x=-1,Slant: y=x-1