What is the asymptotes of f(x)=(x^2-8x-9)/(3x^2+x-2) ?

The asymptotes of f(x)=(x^2-8x-9)/(3x^2+x-2) is Vertical: x= 2/3 ,Horizontal: y= 1/3

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asymptotes of f(x)=(x^2-8x-9)/(3x^2+x-2)

asymptotes

f (x) = \frac{x ^{2} - 8 x - 9}{3 x ^{2} + x - 2}

Vertical : x = \frac{2}{3}, Horizontal : y = \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 8 x - 9}{3 x ^{2} + x - 2} : x = \frac{2}{3}

Horizontal Asymptotes of

\frac{x ^{2} - 8 x - 9}{3 x ^{2} + x - 2} : y = \frac{1}{3}

Slant Asymptotes of

\frac{x ^{2} - 8 x - 9}{3 x ^{2} + x - 2} :

None

Vertical : x = \frac{2}{3}, Horizontal : y = \frac{1}{3}

6 x - 4 y = 18

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

f (x) = \frac{x + 4}{x - 5}

f (x) = (5 - x) e^{- x}

\frac{e ^{x} - e ^{- x}}{9}

What is the asymptotes of f(x)=(x^2-8x-9)/(3x^2+x-2) ?
The asymptotes of f(x)=(x^2-8x-9)/(3x^2+x-2) is Vertical: x= 2/3 ,Horizontal: y= 1/3