What is the asymptotes of (x^3+2x)/(x^2-2x-3) ?

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

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asymptotes of (x^3+2x)/(x^2-2x-3)

asymptotes

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

Vertical : x = - 1, x = 3, Slant : y = x + 2

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = - 1, x = 3, Slant : y = x + 2

f (x) = \frac{x ^{2} + 5 x + 6}{x ^{2} + 4 x + 1}

\frac{4 x + 6}{x + 2}

f (x) = \frac{2 x + 7}{x + 2}

\frac{4 - x}{x - 2}

f (x) = \frac{2 x - 6}{x}

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