What is the asymptotes of f(x)=(x^2+6x+9)/(x^3+7x^2) ?

The asymptotes of f(x)=(x^2+6x+9)/(x^3+7x^2) is Vertical: x=-7,x=0,Horizontal: y=0

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asymptotes of f(x)=(x^2+6x+9)/(x^3+7x^2)

asymptotes

f (x) = \frac{x ^{2} + 6 x + 9}{x ^{3} + 7 x ^{2}}

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

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 6 x + 9}{x ^{3} + 7 x ^{2}} : x = - 7, x = 0

Horizontal Asymptotes of

\frac{x ^{2} + 6 x + 9}{x ^{3} + 7 x ^{2}} : y = 0

Slant Asymptotes of

\frac{x ^{2} + 6 x + 9}{x ^{3} + 7 x ^{2}} :

None

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

f (x) = x^{3} + 6 x^{2} + 8 x

y^{2} - x - 25 = 0

f (x) = \frac{8}{x ^{2} + 3 x - 9}

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

f (x) = 4 x^{5}

What is the asymptotes of f(x)=(x^2+6x+9)/(x^3+7x^2) ?
The asymptotes of f(x)=(x^2+6x+9)/(x^3+7x^2) is Vertical: x=-7,x=0,Horizontal: y=0