What is the asymptotes of f(x)=(x^3-x)/(x^2-6x+5) ?

The asymptotes of f(x)=(x^3-x)/(x^2-6x+5) is Vertical: x=5,Slant: y=x+6

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asymptotes of f(x)=(x^3-x)/(x^2-6x+5)

asymptotes

f (x) = \frac{x ^{3} - x}{x ^{2} - 6 x + 5}

Vertical : x = 5, Slant : y = x + 6

Solution steps

Vertical asymptotes of

\frac{x ^{3} - x}{x ^{2} - 6 x + 5} : x = 5

Horizontal Asymptotes of

\frac{x ^{3} - x}{x ^{2} - 6 x + 5} :

None

Slant Asymptotes of

\frac{x ^{3} - x}{x ^{2} - 6 x + 5} : y = x + 6

Vertical : x = 5, Slant : y = x + 6

ln (x)

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

f (x) = cos (π x)

\frac{x ^{2} - 6 x + 9}{x - 3}

f (x) = ∣ x - 5 ∣

What is the asymptotes of f(x)=(x^3-x)/(x^2-6x+5) ?
The asymptotes of f(x)=(x^3-x)/(x^2-6x+5) is Vertical: x=5,Slant: y=x+6