What is the asymptotes of f(x)=((2-x)(3x+1))/(x^2-4) ?

The asymptotes of f(x)=((2-x)(3x+1))/(x^2-4) is Vertical: x=-2,Horizontal: y=-3

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asymptotes of f(x)=((2-x)(3x+1))/(x^2-4)

asymptotes

f (x) = \frac{( 2 - x ) ( 3 x + 1 )}{x ^{2} - 4}

Vertical : x = - 2, Horizontal : y = - 3

Solution steps

Vertical asymptotes of

\frac{( 2 - x ) ( 3 x + 1 )}{x ^{2} - 4} : x = - 2

Horizontal Asymptotes of

\frac{( 2 - x ) ( 3 x + 1 )}{x ^{2} - 4} : y = - 3

Slant Asymptotes of

\frac{( 2 - x ) ( 3 x + 1 )}{x ^{2} - 4} :

None

Vertical : x = - 2, Horizontal : y = - 3

f (x) = \frac{x ^{2} + 1}{x ^{2} - 4}

f (x) = \frac{3 x + 12}{- 4 x - 2}

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

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

f (x) = \frac{- 4 x + 8}{x ^{2} - 7 x + 10}

What is the asymptotes of f(x)=((2-x)(3x+1))/(x^2-4) ?
The asymptotes of f(x)=((2-x)(3x+1))/(x^2-4) is Vertical: x=-2,Horizontal: y=-3