What is the asymptotes of f(x)= 1/2 sqrt(x^2-5) ?

The asymptotes of f(x)= 1/2 sqrt(x^2-5) is Slant: y= 1/2 x,y=-1/2 x

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asymptotes of f(x)= 1/2 sqrt(x^2-5)

asymptotes

f (x) = \frac{1}{2} x^{2} - 5

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

Solution steps

Vertical asymptotes of

\frac{1}{2} x^{2} - 5 :

None

Horizontal Asymptotes of

\frac{1}{2} x^{2} - 5 :

None

Slant Asymptotes of

\frac{1}{2} x^{2} - 5 : y = \frac{1}{2} x, y = - \frac{1}{2} x

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

f (x) = \frac{3 x ^{2} - 27}{2 x ^{2} + 5 x - 3}

f (x) = \frac{4}{x ^{2} - 16}

f (x) = \frac{3 x ^{3}}{4 x ^{2} - 8 x}

\frac{1}{\frac{20}{x - 5} - 2}

\frac{x ^{2} + 1}{x - 2}

What is the asymptotes of f(x)= 1/2 sqrt(x^2-5) ?
The asymptotes of f(x)= 1/2 sqrt(x^2-5) is Slant: y= 1/2 x,y=-1/2 x