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

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

f (x) = x^{3} + 2 x^{2} + x

f (x) = 6 x^{4} + 6 x^{3}

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

6 x - x^{2} - 5

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