Explanation
We are given the following function:
[tex]y=3\sqrt{x-1}+4[/tex]
We are required to determine the domain of the given function.
This is achieved thus:
We know that the expression in the root cannot be negative. Therefore, we have:
[tex]\begin{gathered} x-1\geqslant0 \\ x\geqslant0+1 \\ x\geqslant1 \end{gathered}[/tex]
Hence, the answer is:
[tex]x\geqslant1[/tex]
The second option is correct.
