What is the asymptotes of f(x)=(x^3-4x)/(3x^2+3x-6) ?

The asymptotes of f(x)=(x^3-4x)/(3x^2+3x-6) is Vertical: x=1,Slant: y= 1/3 x-1/3

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asymptotes of f(x)=(x^3-4x)/(3x^2+3x-6)

asymptotes

f (x) = \frac{x ^{3} - 4 x}{3 x ^{2} + 3 x - 6}

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

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 4 x}{3 x ^{2} + 3 x - 6} : x = 1

Horizontal Asymptotes of

\frac{x ^{3} - 4 x}{3 x ^{2} + 3 x - 6} :

None

Slant Asymptotes of

\frac{x ^{3} - 4 x}{3 x ^{2} + 3 x - 6} : y = \frac{1}{3} x - \frac{1}{3}

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

What is the asymptotes of f(x)=(x^3-4x)/(3x^2+3x-6) ?
The asymptotes of f(x)=(x^3-4x)/(3x^2+3x-6) is Vertical: x=1,Slant: y= 1/3 x-1/3