What is the asymptotes of f(x)=(x^3)/(9x^3-x^2-10x) ?

The asymptotes of f(x)=(x^3)/(9x^3-x^2-10x) is Vertical: x=-1,x= 10/9 ,Horizontal: y= 1/9

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asymptotes of f(x)=(x^3)/(9x^3-x^2-10x)

asymptotes

f (x) = \frac{x ^{3}}{9 x ^{3} - x ^{2} - 10 x}

Vertical : x = - 1, x = \frac{10}{9}, Horizontal : y = \frac{1}{9}

Solution steps

Vertical asymptotes of

\frac{x ^{3}}{9 x ^{3} - x ^{2} - 10 x} : x = - 1, x = \frac{10}{9}

Horizontal Asymptotes of

\frac{x ^{3}}{9 x ^{3} - x ^{2} - 10 x} : y = \frac{1}{9}

Slant Asymptotes of

\frac{x ^{3}}{9 x ^{3} - x ^{2} - 10 x} :

None

Vertical : x = - 1, x = \frac{10}{9}, Horizontal : y = \frac{1}{9}

What is the asymptotes of f(x)=(x^3)/(9x^3-x^2-10x) ?
The asymptotes of f(x)=(x^3)/(9x^3-x^2-10x) is Vertical: x=-1,x= 10/9 ,Horizontal: y= 1/9