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

\frac{2 x - 3}{x + 5}

(x^{2} - 2 \cdot 2 x + 3) (x)

f (x) = \frac{x ^{2} - x - 2}{∣ x ∣ - 4}

f (x) = \frac{- 6 x - 24}{- 2}

3 (2 x - 4) - 2