Question

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

Answer 1

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

Answer 2

\[f(x) = \sqrt{x-2}\]

Answer 3

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

Answer 4

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

Answer 5

Ohh yeah, you can't square root negatives.

Answer 6

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

Answer 7

Yeah and I need real.

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

\[x \ge2\] or\[0<x \le2\]

Answer 12

Oh,

Answer 13

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

Answer 14

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