What is the asymptotes of f(x)=(9x^2+9x+5)/(3x+2) ?

The asymptotes of f(x)=(9x^2+9x+5)/(3x+2) is Vertical: x=-2/3 ,Slant: y=3x+1

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asymptotes of f(x)=(9x^2+9x+5)/(3x+2)

asymptotes

f (x) = \frac{9 x ^{2} + 9 x + 5}{3 x + 2}

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

Solution steps

Vertical asymptotes of

\frac{9 x ^{2} + 9 x + 5}{3 x + 2} : x = - \frac{2}{3}

Horizontal Asymptotes of

\frac{9 x ^{2} + 9 x + 5}{3 x + 2} :

None

Slant Asymptotes of

\frac{9 x ^{2} + 9 x + 5}{3 x + 2} : y = 3 x + 1

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

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

\frac{1}{e ^{x}}

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

f (x) = \frac{6 x ^{2}}{x - 9}

x^{2} + \frac{8}{x}

What is the asymptotes of f(x)=(9x^2+9x+5)/(3x+2) ?
The asymptotes of f(x)=(9x^2+9x+5)/(3x+2) is Vertical: x=-2/3 ,Slant: y=3x+1