Given function is
[tex]f(x)=\sqrt{5x-5}+1[/tex]
Now we have to find which inequality can be used to find the domain.
Given function is a square root function. We know that square root function is defined only for the positive values including 0. In other words expression inside the square root must be greater than or equal to 0.
In given problem, expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :
[tex]5x-5\geq 0[/tex]
which is same as your answer.
Hence your answer is correct.
