What is the asymptotes of f(x)=(x^2-5x-6)/(3x^2-18x) ?

The asymptotes of f(x)=(x^2-5x-6)/(3x^2-18x) is Vertical: x=0,Horizontal: y= 1/3

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asymptotes of f(x)=(x^2-5x-6)/(3x^2-18x)

asymptotes

f (x) = \frac{x ^{2} - 5 x - 6}{3 x ^{2} - 18 x}

Vertical : x = 0, Horizontal : y = \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 5 x - 6}{3 x ^{2} - 18 x} : x = 0

Horizontal Asymptotes of

\frac{x ^{2} - 5 x - 6}{3 x ^{2} - 18 x} : y = \frac{1}{3}

Slant Asymptotes of

\frac{x ^{2} - 5 x - 6}{3 x ^{2} - 18 x} :

None

Vertical : x = 0, Horizontal : y = \frac{1}{3}

3 x + 5

\frac{( \frac{x}{x + 3} )}{( \frac{x}{x + 3} ) + 3}

3 - x - x^{2} - 4

x^{2} - 5 x + 6

y = \frac{3}{5} x - 5

What is the asymptotes of f(x)=(x^2-5x-6)/(3x^2-18x) ?
The asymptotes of f(x)=(x^2-5x-6)/(3x^2-18x) is Vertical: x=0,Horizontal: y= 1/3