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

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

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

asymptotes

f (x) = \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) = 5 x + (5 x - 6)

f (x) = x^{2} + 5 x + 6

g (x) = \frac{3 x - 8}{8 x + 1}

y = 6 x

y = 1

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