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

The asymptotes of f(x)=((x-2))/(x^2-4) is Vertical: x=-2,Horizontal: y=0

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

asymptotes

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

Vertical : x = - 2, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x - 2}{x ^{2} - 4} : x = - 2

Horizontal Asymptotes of

\frac{x - 2}{x ^{2} - 4} : y = 0

Slant Asymptotes of

\frac{x - 2}{x ^{2} - 4} :

None

Vertical : x = - 2, Horizontal : y = 0

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

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

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

\frac{2 x}{x + 2}

f (x) = \frac{2 x - 7}{x + 3}

What is the asymptotes of f(x)=((x-2))/(x^2-4) ?
The asymptotes of f(x)=((x-2))/(x^2-4) is Vertical: x=-2,Horizontal: y=0