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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

\frac{1 + x ^{2}}{4 - x ^{2}} : x = - 2, x = 2

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

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

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

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

f (x) = \frac{2 x ^{2} - 14 x + 24}{x ^{2} + 6 x - 40}

\frac{x + 5}{2 x - 3}

f (x) = \frac{x - 9}{x ^{2} - 5 x - 36}

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