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

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

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domain of sqrt(1/(x^2-1))

domain

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

x < - 1 or x > 1

Interval Notation

(- \infty, - 1) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x < - 1 or x > 1

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or x > 1

\frac{3 x + 2}{1 - x}

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

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

f (x) = \frac{x}{4 x ^{2} - 9}

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

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