What is the asymptotes of f(x)=(x^3+3x^2)/(x^2-4) ?

The asymptotes of f(x)=(x^3+3x^2)/(x^2-4) is Vertical: x=-2,x=2,Slant: y=x+3

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asymptotes of f(x)=(x^3+3x^2)/(x^2-4)

asymptotes

f (x) = \frac{x ^{3} + 3 x ^{2}}{x ^{2} - 4}

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

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 3 x ^{2}}{x ^{2} - 4} : x = - 2, x = 2

Horizontal Asymptotes of

\frac{x ^{3} + 3 x ^{2}}{x ^{2} - 4} :

None

Slant Asymptotes of

\frac{x ^{3} + 3 x ^{2}}{x ^{2} - 4} : y = x + 3

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

f (x) = x^{4} + 4 x

\frac{1}{x - 5}

4 x - y - 11 = 0

f (x) = \frac{5}{t ^{2} - 1}

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

What is the asymptotes of f(x)=(x^3+3x^2)/(x^2-4) ?
The asymptotes of f(x)=(x^3+3x^2)/(x^2-4) is Vertical: x=-2,x=2,Slant: y=x+3