What is the asymptotes of f(x)=(x^3+5x^2-20)/(x^2-4) ?

The asymptotes of f(x)=(x^3+5x^2-20)/(x^2-4) is Vertical: x=-2,x=2,Slant: y=x+5

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asymptotes of f(x)=(x^3+5x^2-20)/(x^2-4)

asymptotes

f (x) = \frac{x ^{3} + 5 x ^{2} - 20}{x ^{2} - 4}

Vertical : x = - 2, x = 2, Slant : y = x + 5

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 5 x ^{2} - 20}{x ^{2} - 4} : x = - 2, x = 2

Horizontal Asymptotes of

\frac{x ^{3} + 5 x ^{2} - 20}{x ^{2} - 4} :

None

Slant Asymptotes of

\frac{x ^{3} + 5 x ^{2} - 20}{x ^{2} - 4} : y = x + 5

Vertical : x = - 2, x = 2, Slant : y = x + 5

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

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

f (x) = \frac{x - 1}{x ^{2} - 4}

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

\frac{3 x ^{2} + 15 x}{5 x ^{2}}

What is the asymptotes of f(x)=(x^3+5x^2-20)/(x^2-4) ?
The asymptotes of f(x)=(x^3+5x^2-20)/(x^2-4) is Vertical: x=-2,x=2,Slant: y=x+5