What is the asymptotes of f(x)=(3x)/(x^2-36) ?

The asymptotes of f(x)=(3x)/(x^2-36) is Vertical: x=-6,x=6,Horizontal: y=0

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asymptotes of f(x)=(3x)/(x^2-36)

asymptotes

f (x) = \frac{3 x}{x ^{2} - 36}

Vertical : x = - 6, x = 6, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{3 x}{x ^{2} - 36} : x = - 6, x = 6

Horizontal Asymptotes of

\frac{3 x}{x ^{2} - 36} : y = 0

Slant Asymptotes of

\frac{3 x}{x ^{2} - 36} :

None

Vertical : x = - 6, x = 6, Horizontal : y = 0

f (x) = - 2 (\frac{1}{3})^{x + 1}

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

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

f (x) = 3^{x - 2} - 2

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

What is the asymptotes of f(x)=(3x)/(x^2-36) ?
The asymptotes of f(x)=(3x)/(x^2-36) is Vertical: x=-6,x=6,Horizontal: y=0