What is the asymptotes of f(x)=((3x^2+5x-6))/(x^2-9) ?

The asymptotes of f(x)=((3x^2+5x-6))/(x^2-9) is Vertical: x=-3,x=3,Horizontal: y=3

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asymptotes of f(x)=((3x^2+5x-6))/(x^2-9)

asymptotes

f (x) = \frac{( 3 x ^{2} + 5 x - 6 )}{x ^{2} - 9}

Vertical : x = - 3, x = 3, Horizontal : y = 3

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + 5 x - 6}{x ^{2} - 9} : x = - 3, x = 3

Horizontal Asymptotes of

\frac{3 x ^{2} + 5 x - 6}{x ^{2} - 9} : y = 3

Slant Asymptotes of

\frac{3 x ^{2} + 5 x - 6}{x ^{2} - 9} :

None

Vertical : x = - 3, x = 3, Horizontal : y = 3

\frac{5 x ^{2}}{x ^{2} - 25}

f (x) = \frac{cos ( x )}{1 + cos ( x )}

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

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

y (θ) = (\frac{1}{2}) csc (θ) + 3

What is the asymptotes of f(x)=((3x^2+5x-6))/(x^2-9) ?
The asymptotes of f(x)=((3x^2+5x-6))/(x^2-9) is Vertical: x=-3,x=3,Horizontal: y=3