What is the asymptotes of f(x)=(2x^3-x)/(x-5) ?

The asymptotes of f(x)=(2x^3-x)/(x-5) is Vertical: x=5

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asymptotes of f(x)=(2x^3-x)/(x-5)

asymptotes

f (x) = \frac{2 x ^{3} - x}{x - 5}

Vertical : x = 5

Solution steps

Vertical asymptotes of

\frac{2 x ^{3} - x}{x - 5} : x = 5

Horizontal Asymptotes of

\frac{2 x ^{3} - x}{x - 5} :

None

Slant Asymptotes of

\frac{2 x ^{3} - x}{x - 5} :

None

Vertical : x = 5

f (x) = \frac{5 x - 20}{x ^{2} - 9 x + 20}

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

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

\frac{x ^{3} + 1}{x ^{2} + 2}

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

What is the asymptotes of f(x)=(2x^3-x)/(x-5) ?
The asymptotes of f(x)=(2x^3-x)/(x-5) is Vertical: x=5