What is the asymptotes of f(x)=(x^2+5x)/(x^3-9x) ?

The asymptotes of f(x)=(x^2+5x)/(x^3-9x) is Vertical: x=-3,x=3,Horizontal: y=0

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asymptotes of f(x)=(x^2+5x)/(x^3-9x)

asymptotes

f (x) = \frac{x ^{2} + 5 x}{x ^{3} - 9 x}

Vertical : x = - 3, x = 3, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 5 x}{x ^{3} - 9 x} : x = - 3, x = 3

Horizontal Asymptotes of

\frac{x ^{2} + 5 x}{x ^{3} - 9 x} : y = 0

Slant Asymptotes of

\frac{x ^{2} + 5 x}{x ^{3} - 9 x} :

None

Vertical : x = - 3, x = 3, Horizontal : y = 0

f (x) = \frac{∣ x ∣}{2 - x}

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

f (x) = \frac{- 5 - 2}{- 5 ^{2} - 4}

f (x) = \frac{x - 3}{x ^{2} - 10 x + 25}

\frac{x + 3}{x ^{2} + x - 6}

What is the asymptotes of f(x)=(x^2+5x)/(x^3-9x) ?
The asymptotes of f(x)=(x^2+5x)/(x^3-9x) is Vertical: x=-3,x=3,Horizontal: y=0