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

The asymptotes of f(x)=(x^2-x)/(x^3-4x) is Vertical: x=-2,x=2,Horizontal: y=0

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} - x}{x ^{3} - 4 x} : y = 0

Slant Asymptotes of

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

None

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

f (x) = \frac{4 + 9 e ^{x}}{3 e ^{x} + 2}

(x + 2)^{2} + 1

(- \frac{7}{2}, \frac{1}{2}), (- \frac{9}{2}, - \frac{1}{2})

3 \cdot 2^{x - 1} + 4

y = \frac{1}{x ^{2}}

What is the asymptotes of f(x)=(x^2-x)/(x^3-4x) ?
The asymptotes of f(x)=(x^2-x)/(x^3-4x) is Vertical: x=-2,x=2,Horizontal: y=0