Answer: (3, 6)
Step-by-step explanation:
1. You have the following function:
[tex]y=\sqrt{(x-2)}+5[/tex]
2. To find the point that lies on the graph of the function above, you can substitute the value of x given in the option; if you obtain the value of y shown in that option, then that point lies on the graph. Then, you have:
[tex]x=3[/tex]
[tex]y=\sqrt{(3-2)}+5=6[/tex]
3. The point is (3,6), then it is lie on the graph.
