Shown is the graph of the function y = −√x −1+5.-10-7 $ $10Determine the domain and range of the function.

Given:
There are given the equation:
[tex]y=-\sqrt{x-1}+5[/tex]Explanation:
According to the given question:
We need to draw the graph and then find the domain and range of the given function:
So,
[tex]y=-\sqrt{x-1}+5[/tex]Then,
The graph of the given function is:
Now,
We need to find the domain and range of the given function:
S,
The domain of the given function is:
[tex]x\ge1[/tex]And,
The rage of the given function is:
[tex]y\leq5[/tex]Final answer:
Hence, the correct option is B.