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

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

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

domain

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

- 2 < x < 2 or x > 2

Interval Notation

(- 2, 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq - 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < 2 or x > 2

- 3 x - 12

- 2 x + 6

5 + 13 t - 4.9 t^{2}

- 6 x

- 2 cot (\frac{4}{3}) (y - \frac{π}{6}) + 3

What is the domain of (sqrt(x+2))/(x^2-4) ?
The domain of (sqrt(x+2))/(x^2-4) is -2<x<2\lor x>2