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

The asymptotes of f(x)=(3x^3-1)/(x^2-2x) is Vertical: x=0,x=2,Slant: y=3x+6

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

asymptotes

f (x) = \frac{3 x ^{3} - 1}{x ^{2} - 2 x}

Vertical : x = 0, x = 2, Slant : y = 3 x + 6

Solution steps

Vertical asymptotes of

\frac{3 x ^{3} - 1}{x ^{2} - 2 x} : x = 0, x = 2

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 0, x = 2, Slant : y = 3 x + 6

f (x) = 4 x^{3} - 3 x

f (x) = \frac{x - 3}{x ^{2} + x - 12}

x - 2

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

4 x + 3 y = - 2

What is the asymptotes of f(x)=(3x^3-1)/(x^2-2x) ?
The asymptotes of f(x)=(3x^3-1)/(x^2-2x) is Vertical: x=0,x=2,Slant: y=3x+6