What is the asymptotes of f(x)=(x^3+2x+1)/(x^2-5x) ?

The asymptotes of f(x)=(x^3+2x+1)/(x^2-5x) is Vertical: x=0,x=5,Slant: y=x+5

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asymptotes of f(x)=(x^3+2x+1)/(x^2-5x)

asymptotes

f (x) = \frac{x ^{3} + 2 x + 1}{x ^{2} - 5 x}

Vertical : x = 0, x = 5, Slant : y = x + 5

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 2 x + 1}{x ^{2} - 5 x} : x = 0, x = 5

Horizontal Asymptotes of

\frac{x ^{3} + 2 x + 1}{x ^{2} - 5 x} :

None

Slant Asymptotes of

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

Vertical : x = 0, x = 5, Slant : y = x + 5

f (x) = \frac{300}{1 + 0.03 r ^{2}}

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

f (x) = \frac{x ^{2} - 1}{x ^{2} - 4}

f (x) = \frac{3 x + 15}{5 x}

(x - 2) (x + 2) (x + 4)

What is the asymptotes of f(x)=(x^3+2x+1)/(x^2-5x) ?
The asymptotes of f(x)=(x^3+2x+1)/(x^2-5x) is Vertical: x=0,x=5,Slant: y=x+5