What is the asymptotes of f(x)=(x^2-6)/(36x-x^4) ?

The asymptotes of f(x)=(x^2-6)/(36x-x^4) is Vertical: x=0,x=\sqrt[3]{36},Horizontal: y=0

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asymptotes of f(x)=(x^2-6)/(36x-x^4)

asymptotes

f (x) = \frac{x ^{2} - 6}{36 x - x ^{4}}

Solution steps

Vertical asymptotes of

Horizontal Asymptotes of

\frac{x ^{2} - 6}{36 x - x ^{4}} : y = 0

Slant Asymptotes of

\frac{x ^{2} - 6}{36 x - x ^{4}} :

None

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

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

6 x^{\frac{2}{3}} - 4 x

f (x) = arctan (- e^{3 x} - 1)

3 - x \frac{( x ^{2} - 16 )}{( x - 2 )}

What is the asymptotes of f(x)=(x^2-6)/(36x-x^4) ?
The asymptotes of f(x)=(x^2-6)/(36x-x^4) is Vertical: x=0,x=\sqrt[3]{36},Horizontal: y=0