What is the asymptotes of f(x)=(4x+9)/(3x-6) ?

The asymptotes of f(x)=(4x+9)/(3x-6) is Vertical: x=2,Horizontal: y= 4/3

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asymptotes of f(x)=(4x+9)/(3x-6)

asymptotes

f (x) = \frac{4 x + 9}{3 x - 6}

Vertical : x = 2, Horizontal : y = \frac{4}{3}

Solution steps

Vertical asymptotes of

\frac{4 x + 9}{3 x - 6} : x = 2

Horizontal Asymptotes of

\frac{4 x + 9}{3 x - 6} : y = \frac{4}{3}

Slant Asymptotes of

\frac{4 x + 9}{3 x - 6} :

None

Vertical : x = 2, Horizontal : y = \frac{4}{3}

(\frac{π}{6}, 6), (\frac{π}{4}, 0)

f (x) = \frac{x - 4}{x ^{2} - 6 x + 8}

f (x) = - x^{2} + 18 x + 144

f (x) = \frac{2}{3} x + 100

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

What is the asymptotes of f(x)=(4x+9)/(3x-6) ?
The asymptotes of f(x)=(4x+9)/(3x-6) is Vertical: x=2,Horizontal: y= 4/3