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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

x^{2} + x - 2 :

None

Horizontal Asymptotes of

x^{2} + x - 2 :

None

Slant Asymptotes of

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

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

f (x) = ln (4 - ln (x))

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

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

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

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

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