What is the asymptotes of y=(x^3-x)/(1-3x^2) ?

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

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asymptotes of y=(x^3-x)/(1-3x^2)

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{3} - x}{1 - 3 x ^{2}} :

None

Slant Asymptotes of

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

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

f (x) = - 3 sin (- 2 x + \frac{π}{2})

f (x) = cos (x)

f (x) = e^{3 x + 2}

3 x^{4} - 18 x^{2}

\frac{x}{x ^{2} + 1}

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