What is the asymptotes of f(x)=(x^3)/(81-x^2) ?

The asymptotes of f(x)=(x^3)/(81-x^2) is Vertical: x=-9,x=9,Slant: y=-x

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asymptotes of f(x)=(x^3)/(81-x^2)

asymptotes

f (x) = \frac{x ^{3}}{81 - x ^{2}}

Vertical : x = - 9, x = 9, Slant : y = - x

Solution steps

Vertical asymptotes of

\frac{x ^{3}}{81 - x ^{2}} : x = - 9, x = 9

Horizontal Asymptotes of

\frac{x ^{3}}{81 - x ^{2}} :

None

Slant Asymptotes of

\frac{x ^{3}}{81 - x ^{2}} : y = - x

Vertical : x = - 9, x = 9, Slant : y = - x

1 + x^{2}

(2, - 3), (4, 5)

f (x) = cos (x) sin (x)

f (x) = x^{3} - 6 x^{2} + 9 x

\frac{1}{x ^{\frac{3}{2}} + 3 x}

What is the asymptotes of f(x)=(x^3)/(81-x^2) ?
The asymptotes of f(x)=(x^3)/(81-x^2) is Vertical: x=-9,x=9,Slant: y=-x