What is the asymptotes of (x^3-x)/(3x^2-27) ?

The asymptotes of (x^3-x)/(3x^2-27) is Vertical: x=-3,x=3,Slant: y= 1/3 x

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asymptotes of (x^3-x)/(3x^2-27)

asymptotes

\frac{x ^{3} - x}{3 x ^{2} - 27}

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

Solution steps

Vertical asymptotes of

\frac{x ^{3} - x}{3 x ^{2} - 27} : x = - 3, x = 3

Horizontal Asymptotes of

\frac{x ^{3} - x}{3 x ^{2} - 27} :

None

Slant Asymptotes of

\frac{x ^{3} - x}{3 x ^{2} - 27} : y = \frac{1}{3} x

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

y = 6 - x - x^{2}

(- 5 - 1) (05)

h

f (x) = \frac{- x ^{2} - 7 x}{x ^{2} + x - 12}

y = - x + 5

What is the asymptotes of (x^3-x)/(3x^2-27) ?
The asymptotes of (x^3-x)/(3x^2-27) is Vertical: x=-3,x=3,Slant: y= 1/3 x