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

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

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

asymptotes

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

Horizontal : y = \frac{1}{2}, y = - \frac{1}{2}

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

Slant Asymptotes of

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

None

Horizontal : y = \frac{1}{2}, y = - \frac{1}{2}

f (x) = 9 x - 2

f (x) = - 8 x^{3} + 24 x + 7

f (x) = \frac{1}{x}

f (x) = x^{3} - 4 x^{2} + x + 6

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