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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

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

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

\frac{3 x - 12}{x ^{2} - 16}

f (x) = \frac{5 x ^{2} + 8 x - 3}{3 x ^{2} + 2}

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

f (x) = \frac{2 x ^{2}}{x - 8}

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