What is the asymptotes of f(x)=(81x^2-18)/(3x-2) ?

The asymptotes of f(x)=(81x^2-18)/(3x-2) is Vertical: x= 2/3 ,Slant: y=27x+18

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asymptotes of f(x)=(81x^2-18)/(3x-2)

asymptotes

f (x) = \frac{81 x ^{2} - 18}{3 x - 2}

Vertical : x = \frac{2}{3}, Slant : y = 27 x + 18

Solution steps

Vertical asymptotes of

\frac{81 x ^{2} - 18}{3 x - 2} : x = \frac{2}{3}

Horizontal Asymptotes of

\frac{81 x ^{2} - 18}{3 x - 2} :

None

Slant Asymptotes of

\frac{81 x ^{2} - 18}{3 x - 2} : y = 27 x + 18

Vertical : x = \frac{2}{3}, Slant : y = 27 x + 18

f (x) = \frac{10}{x}

f (x) = - 3 (x - 5)^{2} + 4

(0, 10), (1, 0)

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

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

What is the asymptotes of f(x)=(81x^2-18)/(3x-2) ?
The asymptotes of f(x)=(81x^2-18)/(3x-2) is Vertical: x= 2/3 ,Slant: y=27x+18