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

The domain of 1/(xsqrt(1-x^2)) is -1<x<0\lor 0<x<1

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

domain

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

- 1 < x < 0 or 0 < x < 1

Interval Notation

(- 1, 0) \cup (0, 1)

Solution steps

Find non-negative values for radicals:

- 1 \leq x \leq 1

Find undefined (singularity) points:

x = 0, x = 1, x = - 1

Combine real regions and undefined points for final function domain

- 1 < x < 0 or 0 < x < 1

\frac{5 - 2 x}{4 x - 1}

f (x) = - 13 - x

f (x) = \frac{x + 3}{x ^{2} - 6 x - 27}

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

f (x) = - \frac{9}{50} x + 72

What is the domain of 1/(xsqrt(1-x^2)) ?
The domain of 1/(xsqrt(1-x^2)) is -1<x<0\lor 0<x<1