What is the domain of (1-9sqrt(4-x^2))/(|x-2|-|x+2|) ?

The domain of (1-9sqrt(4-x^2))/(|x-2|-|x+2|) is -2<= x<0\lor 0<x<= 2

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domain of (1-9sqrt(4-x^2))/(|x-2|-|x+2|)

domain

\frac{1 - 9 4 - x ^{2}}{∣ x - 2 ∣ - ∣ x + 2 ∣}

- 2 \leq x < 0 or 0 < x \leq 2

Interval Notation

[- 2, 0) \cup (0, 2]

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 2 \leq x < 0 or 0 < x \leq 2

g (x) = x - 2 x - 3

F (x) = \frac{1}{x}

- 2 x - 1

f (x) = lo g_{x + 5} (\frac{3 x + 2}{5})

y = \frac{1}{2 x 2 + ln ( x )}

What is the domain of (1-9sqrt(4-x^2))/(|x-2|-|x+2|) ?
The domain of (1-9sqrt(4-x^2))/(|x-2|-|x+2|) is -2<= x<0\lor 0<x<= 2