Answer:
[tex]x\geq 2[/tex]
Step-by-step explanation:
The parent function, [tex]y=\sqrt{x}[/tex], has a domain of [tex]x\geq 0[/tex] or [tex][0, \infty)[/tex], because the value under the radical cannot be less than 0 (we cannot take the square root of a negative number). Thus, by setting everything inside the radical to 0, we can find the domain of this function:
[tex]x-2\geq 0,\\x\geq 2[/tex]
Thus this domain of this function is:
As an inequality: [tex]x\geq 2[/tex] (desired in problem)
In interval notation: [tex][2, \infty)[/tex]
