What is the asymptotes of (x^3+8)/(x^2+5x) ?

The asymptotes of (x^3+8)/(x^2+5x) is Vertical: x=-5,x=0,Slant: y=x-5

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asymptotes of (x^3+8)/(x^2+5x)

asymptotes

\frac{x ^{3} + 8}{x ^{2} + 5 x}

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

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 8}{x ^{2} + 5 x} : x = - 5, x = 0

Horizontal Asymptotes of

\frac{x ^{3} + 8}{x ^{2} + 5 x} :

None

Slant Asymptotes of

\frac{x ^{3} + 8}{x ^{2} + 5 x} : y = x - 5

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

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

f (x) = x (x - 4)^{3}

f (x) = - 4 + \frac{7}{2} x

2 x - 3 y = - 12

(- 3, - 9), (0, - 12)

What is the asymptotes of (x^3+8)/(x^2+5x) ?
The asymptotes of (x^3+8)/(x^2+5x) is Vertical: x=-5,x=0,Slant: y=x-5