What is the asymptotes of f(x)=(x^2-6)/(3x-1) ?

The asymptotes of f(x)=(x^2-6)/(3x-1) is Vertical: x= 1/3 ,Slant: y= 1/3 x+1/9

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asymptotes of f(x)=(x^2-6)/(3x-1)

asymptotes

f (x) = \frac{x ^{2} - 6}{3 x - 1}

Vertical : x = \frac{1}{3}, Slant : y = \frac{1}{3} x + \frac{1}{9}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} - 6}{3 x - 1} :

None

Slant Asymptotes of

\frac{x ^{2} - 6}{3 x - 1} : y = \frac{1}{3} x + \frac{1}{9}

Vertical : x = \frac{1}{3}, Slant : y = \frac{1}{3} x + \frac{1}{9}

f (x) = \frac{ln ( x )}{2 x}

f (x) = \frac{1}{x + 8}

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

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

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

What is the asymptotes of f(x)=(x^2-6)/(3x-1) ?
The asymptotes of f(x)=(x^2-6)/(3x-1) is Vertical: x= 1/3 ,Slant: y= 1/3 x+1/9