What is the asymptotes of f(x)=(x^3)/(x^2-49) ?

The asymptotes of f(x)=(x^3)/(x^2-49) is Vertical: x=-7,x=7,Slant: y=x

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asymptotes of f(x)=(x^3)/(x^2-49)

asymptotes

f (x) = \frac{x ^{3}}{x ^{2} - 49}

Vertical : x = - 7, x = 7, Slant : y = x

Solution steps

Vertical asymptotes of

\frac{x ^{3}}{x ^{2} - 49} : x = - 7, x = 7

Horizontal Asymptotes of

\frac{x ^{3}}{x ^{2} - 49} :

None

Slant Asymptotes of

\frac{x ^{3}}{x ^{2} - 49} : y = x

Vertical : x = - 7, x = 7, Slant : y = x

- 8 \frac{x}{( x ^{2} - 4 )}

f (x) = x + \frac{32}{x ^{2}}

f (x) = x^{2} - 2 x - 15

\frac{2 x - 1}{x}

\frac{2 x + 5}{3 x - 7}

What is the asymptotes of f(x)=(x^3)/(x^2-49) ?
The asymptotes of f(x)=(x^3)/(x^2-49) is Vertical: x=-7,x=7,Slant: y=x