What is the asymptotes of f(x)=((x-7)(x+4))/(x^2-4) ?

The asymptotes of f(x)=((x-7)(x+4))/(x^2-4) is Vertical: x=-2,x=2,Horizontal: y=1

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asymptotes of f(x)=((x-7)(x+4))/(x^2-4)

asymptotes

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

Vertical : x = - 2, x = 2, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{( x - 7 ) ( x + 4 )}{x ^{2} - 4} : x = - 2, x = 2

Horizontal Asymptotes of

\frac{( x - 7 ) ( x + 4 )}{x ^{2} - 4} : y = 1

Slant Asymptotes of

\frac{( x - 7 ) ( x + 4 )}{x ^{2} - 4} :

None

Vertical : x = - 2, x = 2, Horizontal : y = 1

f (x) = 5 - x + x^{2} - 4

y = - 6 x + 5

2 x^{2} + 4 x - 3

f (x) = - \frac{1}{x}

x^{\frac{5}{2}} - 6 x^{2}

What is the asymptotes of f(x)=((x-7)(x+4))/(x^2-4) ?
The asymptotes of f(x)=((x-7)(x+4))/(x^2-4) is Vertical: x=-2,x=2,Horizontal: y=1