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=1,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 = 1, x = 5, Slant : y = x + 6

Solution steps

Vertical asymptotes of

\frac{x ^{3} + x}{x ^{2} - 6 x + 5} : x = 1, 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 = 1, x = 5, Slant : y = x + 6

\frac{x + 1}{x}

(- 7, - 5), (- 3, 1)

f (x) = (x - 1)^{2} (2 x - 5)

- 4 x^{11} + 1

f (x) = (\frac{1}{x}) + 3

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=1,x=5,Slant: y=x+6