What is the asymptotes of (x^3-16x)/(-3x^2+3x+18) ?

The asymptotes of (x^3-16x)/(-3x^2+3x+18) is Vertical: x=-2,x=3,Slant: y=-1/3 x-1/3

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asymptotes of (x^3-16x)/(-3x^2+3x+18)

asymptotes

\frac{x ^{3} - 16 x}{- 3 x ^{2} + 3 x + 18}

Vertical : x = - 2, x = 3, Slant : y = - \frac{1}{3} x - \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 16 x}{- 3 x ^{2} + 3 x + 18} : x = - 2, x = 3

Horizontal Asymptotes of

\frac{x ^{3} - 16 x}{- 3 x ^{2} + 3 x + 18} :

None

Slant Asymptotes of

\frac{x ^{3} - 16 x}{- 3 x ^{2} + 3 x + 18} : y = - \frac{1}{3} x - \frac{1}{3}

Vertical : x = - 2, x = 3, Slant : y = - \frac{1}{3} x - \frac{1}{3}

What is the asymptotes of (x^3-16x)/(-3x^2+3x+18) ?
The asymptotes of (x^3-16x)/(-3x^2+3x+18) is Vertical: x=-2,x=3,Slant: y=-1/3 x-1/3