Answer:
C.
Explanation:
So we have the equation:
![y=√(x-3)](https://img.qammunity.org/2021/formulas/mathematics/college/wg1zzxl4dnmeydqcyck7d3eirswbrsk1nv.png)
This is a square root equation.
For square root equations, the radicand(s) must be positive.
Therefore, to find the domain, set the radicand to be greater than or equal to 0:
![x-3\geq 0](https://img.qammunity.org/2021/formulas/mathematics/college/lnad6b6f8d1bnmql3kbpjotibi9a812k8s.png)
Solve for x. Add 3 to both sides:
![x\geq 3](https://img.qammunity.org/2021/formulas/mathematics/middle-school/rxd6q93f6855msay7hgwlohobkn74pu6p6.png)
Therefore, our domain must be greater than or equal to 3.
In set notation, this is:
![\{x:x\geq 3\}](https://img.qammunity.org/2021/formulas/mathematics/college/b3808311a1hbzgmlir1cm2rhrfhk6szezh.png)
Therefore, our answer is C.