What is the asymptotes of f(x)=(x^3-4x)/(-3x^2-9x) ?

The asymptotes of f(x)=(x^3-4x)/(-3x^2-9x) is Vertical: x=-3,Slant: y=-1/3 x+1

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asymptotes of f(x)=(x^3-4x)/(-3x^2-9x)

asymptotes

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

Vertical : x = - 3, Slant : y = - \frac{1}{3} x + 1

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 4 x}{- 3 x ^{2} - 9 x} : x = - 3

Horizontal Asymptotes of

\frac{x ^{3} - 4 x}{- 3 x ^{2} - 9 x} :

None

Slant Asymptotes of

\frac{x ^{3} - 4 x}{- 3 x ^{2} - 9 x} : y = - \frac{1}{3} x + 1

Vertical : x = - 3, Slant : y = - \frac{1}{3} x + 1

What is the asymptotes of f(x)=(x^3-4x)/(-3x^2-9x) ?
The asymptotes of f(x)=(x^3-4x)/(-3x^2-9x) is Vertical: x=-3,Slant: y=-1/3 x+1