What is the asymptotes of f(x)=sqrt(x^2+5x)-x ?

The asymptotes of f(x)=sqrt(x^2+5x)-x is Horizontal: y= 5/2 ,Slant: y=-2x-5/2

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asymptotes of f(x)=sqrt(x^2+5x)-x

asymptotes

f (x) = x^{2} + 5 x - x

Horizontal : y = \frac{5}{2}, Slant : y = - 2 x - \frac{5}{2}

Solution steps

Vertical asymptotes of

x^{2} + 5 x - x :

None

Horizontal Asymptotes of

x^{2} + 5 x - x : y = \frac{5}{2}

Slant Asymptotes of

x^{2} + 5 x - x : y = - 2 x - \frac{5}{2}

Horizontal : y = \frac{5}{2}, Slant : y = - 2 x - \frac{5}{2}

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

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

\frac{x ^{2} - 25}{x ^{2} + 25}

What is the asymptotes of f(x)=sqrt(x^2+5x)-x ?
The asymptotes of f(x)=sqrt(x^2+5x)-x is Horizontal: y= 5/2 ,Slant: y=-2x-5/2