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

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

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

domain

\frac{∣ x ∣}{2 - x ^{2}}

- 2 < x < 2

Interval Notation

(- 2, 2)

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < 2

f (x) = \frac{8}{x + 10}

f (x) = 127 - 18

k (y) = \frac{1}{2 y + 1}

\frac{x + 5}{x ^{2} + 5 x + 4}

f (x) = 4 + x^{2} + 4 x

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