What is the asymptotes of f(x)=(3x^2)/(x^2+1) ?

The asymptotes of f(x)=(3x^2)/(x^2+1) is Horizontal: y=3

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asymptotes of f(x)=(3x^2)/(x^2+1)

asymptotes

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

Horizontal : y = 3

Solution steps

Vertical asymptotes of

\frac{3 x ^{2}}{x ^{2} + 1} :

None

Horizontal Asymptotes of

\frac{3 x ^{2}}{x ^{2} + 1} : y = 3

Slant Asymptotes of

\frac{3 x ^{2}}{x ^{2} + 1} :

None

Horizontal : y = 3

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

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}

What is the asymptotes of f(x)=(3x^2)/(x^2+1) ?
The asymptotes of f(x)=(3x^2)/(x^2+1) is Horizontal: y=3