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

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

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

asymptotes

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

Vertical : x = - 2, x = 2, Slant : y = x

Solution steps

Vertical asymptotes of

\frac{x ^{2}}{x ^{2} - 2} : x = - 2, x = 2

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = - 2, x = 2, Slant : y = x

\frac{x - 3}{3 x - 9}

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

f (x) = \frac{3 x ^{2} + 12 x}{- 2 x ^{2} + 2 x}

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

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

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