What is the domain of (sqrt(x+1))/(sqrt(1-|x|)) ?

The domain of (sqrt(x+1))/(sqrt(1-|x|)) is -1<x<1

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domain of (sqrt(x+1))/(sqrt(1-|x|))

domain

\frac{x + 1}{1 - ∣ x ∣}

- 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{3 x ^{2} + 12 x + 12}{x ^{2} - 4}

f (x) = - x - 6

f (x) = x^{3} - 15 x^{2}

x^{3} - 6 x^{2} - 15 x + 10

f (x) = \frac{2}{2 - 7 x}

What is the domain of (sqrt(x+1))/(sqrt(1-|x|)) ?
The domain of (sqrt(x+1))/(sqrt(1-|x|)) is -1<x<1