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

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

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

asymptotes

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

Horizontal : y = 2

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = 2

f (x) = \frac{3 x ^{2}}{x ^{2} - 9}

\frac{3 x - 9}{x - 3}

\frac{- x ^{2} + 2 x + 8}{2 x ^{2} - 16 x + 32}

f (x) = \frac{- 2 x ^{2} - 3 x + 1}{x ^{2} - 4}

f (x) = 2 x - 3

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