What is the domain of the function f(x) = square root of x-2

Question

anonymous · Answer

You cannot take the square root of a negative number and get a real answer.

anonymous · Answer

$$f(x) = \sqrt{x-2}$$

anonymous · Answer

Well it's a multiple answer and the choices are.

anonymous · Answer

Well, think about it. x-2 must be greater than or equal to 0, right?

anonymous · Answer

Ohh yeah, you can't square root negatives.

anonymous · Answer

Well, you can, but you do not get real results.

anonymous · Answer

Yeah and I need real.

anonymous · Answer

Correct. So x - 2 must be greater than or equal to 0. Solve the inequality for x.

anonymous · Answer

How do I know if it is x > or equal to 2 or 0<x< or equal to 2

anonymous · Answer

If its 0 < x < 2, this means x is greater than 0 and less than 2. This is not correct.

anonymous · Answer

$$x \ge2$$ or$$0<x \le2$$

anonymous · Answer

Oh,

anonymous · Answer

So x is greater than or equal to 2 since it has to be a real number ,.

anonymous · Answer

The ONLY limitation is that you cannot take the square root of a negative number:
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