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

The domain of 1/(sqrt(x+2)-2) is -2 2

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domain of 1/(sqrt(x+2)-2)

domain

\frac{1}{x + 2 - 2}

- 2 \leq 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

Combine real regions and undefined points for final function domain

- 2 \leq x < 2 or x > 2

What is the domain of 1/(sqrt(x+2)-2) ?
The domain of 1/(sqrt(x+2)-2) is -2<= x<2\lor x>2