What is the domain of 1/(sqrt(4-x^2)) ?

The domain of 1/(sqrt(4-x^2)) is -2<x<2

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domain of 1/(sqrt(4-x^2))

domain

\frac{1}{4 - 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