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

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

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

domain

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

- 1 < x < 1

Interval Notation

(- 1, 1)

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 1

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

- 1 < x < 1

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