The given function is
[tex]y=\sqrt[]{x-5}+10[/tex]
The graph of the function is
Here the point (5,10) is the minimum point.
x-coordinate of the point (5,10) is the minimum value of the domain.
The domain is x>5
y-coordinate of the point (5,10) is the minimum value of the range.
The range is y>10
Hence the answer is
[tex]\text{Domain x>5}[/tex][tex]\text{Range y>10}[/tex]
