What is the asymptotes of f(x)=(x^2+6x-4)/(3x-6) ?

The asymptotes of f(x)=(x^2+6x-4)/(3x-6) is Vertical: x=2,Slant: y= 1/3 x+8/3

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asymptotes of f(x)=(x^2+6x-4)/(3x-6)

asymptotes

f (x) = \frac{x ^{2} + 6 x - 4}{3 x - 6}

Vertical : x = 2, Slant : y = \frac{1}{3} x + \frac{8}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 6 x - 4}{3 x - 6} : x = 2

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{2} + 6 x - 4}{3 x - 6} : y = \frac{1}{3} x + \frac{8}{3}

Vertical : x = 2, Slant : y = \frac{1}{3} x + \frac{8}{3}

What is the asymptotes of f(x)=(x^2+6x-4)/(3x-6) ?
The asymptotes of f(x)=(x^2+6x-4)/(3x-6) is Vertical: x=2,Slant: y= 1/3 x+8/3