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

The asymptotes of f(x)=(x+4)/((x-3)(x+4)) is Vertical: x=3,Horizontal: y=0

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

asymptotes

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

Vertical : x = 3, Horizontal : y = 0

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x + 4}{( x - 3 ) ( x + 4 )} : y = 0

Slant Asymptotes of

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

None

Vertical : x = 3, Horizontal : y = 0

x^{4} - 3 x^{2}

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

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

y = - 3 x^{2} - 2 x + 5

(1, - 4), (- 2, 5)

What is the asymptotes of f(x)=(x+4)/((x-3)(x+4)) ?
The asymptotes of f(x)=(x+4)/((x-3)(x+4)) is Vertical: x=3,Horizontal: y=0