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

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

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

asymptotes

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

Horizontal : y = 4

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = 4

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

- x^{2} - 4 x + 4

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

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

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

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