What is the asymptotes of f(x)=x-sqrt(x^2+3x) ?

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

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asymptotes of f(x)=x-sqrt(x^2+3x)

asymptotes

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

Horizontal : y = - \frac{3}{2}

Solution steps

Vertical asymptotes of

x - x^{2} + 3 x :

None

Horizontal Asymptotes of

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

Horizontal : y = - \frac{3}{2}

\frac{- 2}{x - 3}

\frac{- 2}{x - 2}

\frac{12 x + 35}{x ( x + 7 )}

f (x) = \frac{6 x ^{2}}{3 x ^{2} + 1}

f (x) = \frac{( x ^{2} )}{x - 8}

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