What is the asymptotes of f(x)=(x^3+8)/(x^2+7x) ?

The asymptotes of f(x)=(x^3+8)/(x^2+7x) is Vertical: x=-7,x=0,Slant: y=x-7

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asymptotes of f(x)=(x^3+8)/(x^2+7x)

asymptotes

f (x) = \frac{x ^{3} + 8}{x ^{2} + 7 x}

Vertical : x = - 7, x = 0, Slant : y = x - 7

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 8}{x ^{2} + 7 x} : x = - 7, x = 0

Horizontal Asymptotes of

\frac{x ^{3} + 8}{x ^{2} + 7 x} :

None

Slant Asymptotes of

\frac{x ^{3} + 8}{x ^{2} + 7 x} : y = x - 7

Vertical : x = - 7, x = 0, Slant : y = x - 7

(9, - 3), (- 2, - 2)

2 x^{2} - x - 1

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

f (x) = \frac{x ^{2} - 49}{x ( x - 7 )}

f (x) = x^{2} + 8 x

What is the asymptotes of f(x)=(x^3+8)/(x^2+7x) ?
The asymptotes of f(x)=(x^3+8)/(x^2+7x) is Vertical: x=-7,x=0,Slant: y=x-7