What is the asymptotes of (x^3-9x)/(3x^2-6x-9) ?

The asymptotes of (x^3-9x)/(3x^2-6x-9) is Vertical: x=-1,Slant: y= 1/3 x+2/3

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asymptotes of (x^3-9x)/(3x^2-6x-9)

asymptotes

\frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9}

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

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9} : x = - 1

Horizontal Asymptotes of

\frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9} :

None

Slant Asymptotes of

\frac{x ^{3} - 9 x}{3 x ^{2} - 6 x - 9} : y = \frac{1}{3} x + \frac{2}{3}

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

f (x) = \frac{1 - x ^{3}}{x ^{3} + 1}

15 x - 10

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

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

f (x) = \frac{( 3 x + 1 )}{( x - 4 )}

What is the asymptotes of (x^3-9x)/(3x^2-6x-9) ?
The asymptotes of (x^3-9x)/(3x^2-6x-9) is Vertical: x=-1,Slant: y= 1/3 x+2/3