What is the asymptotes of f(x)=(x^3+27)/(x^2+5x) ?

The asymptotes of f(x)=(x^3+27)/(x^2+5x) is Vertical: x=-5,x=0,Slant: y=x-5

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asymptotes of f(x)=(x^3+27)/(x^2+5x)

asymptotes

f (x) = \frac{x ^{3} + 27}{x ^{2} + 5 x}

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

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 27}{x ^{2} + 5 x} : x = - 5, x = 0

Horizontal Asymptotes of

\frac{x ^{3} + 27}{x ^{2} + 5 x} :

None

Slant Asymptotes of

\frac{x ^{3} + 27}{x ^{2} + 5 x} : y = x - 5

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

- \frac{2}{5} \cdot 2^{x} + \frac{8}{5}

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

- lo g_{2} (x - 2)

y = \frac{1}{x + 1}

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

What is the asymptotes of f(x)=(x^3+27)/(x^2+5x) ?
The asymptotes of f(x)=(x^3+27)/(x^2+5x) is Vertical: x=-5,x=0,Slant: y=x-5