What is the domain of 1/(sqrt(X^2-4)) ?

The domain of 1/(sqrt(X^2-4)) is X 2

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domain of 1/(sqrt(X^2-4))

domain

\frac{1}{X ^{2} - 4}

X < - 2 or X > 2

Interval Notation

(- \infty, - 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

X \leq - 2 or X \geq 2

Find undefined (singularity) points:

X = 2, X = - 2

Combine real regions and undefined points for final function domain

X < - 2 or X > 2

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

\frac{3}{x - 2}

f (x) = - x + sin (x)

f (x) = x^{3} - 10

\frac{( - x - 3 )}{( 2 - x )}

What is the domain of 1/(sqrt(X^2-4)) ?
The domain of 1/(sqrt(X^2-4)) is X<-2\lor X>2