Find the domain of the function. \[ g(x)=\sqrt{x-5} \] Write your answer using interval notation.

To find the domain of the function \( g(x) = \sqrt{x - 5} \), we need to determine the values of \( x \) for which the expression under the square root is non-negative, since the square root function is only defined for non-negative values. We set up the inequality: \[ x - 5 \geq 0 \] Solving this inequality: \[ x \geq 5 \] This means that \( x \) must be greater than or equal to 5. Therefore, the domain of the function \( g(x) \) is all values of \( x \) starting from 5 and extending to positive infinity. In interval notation, the domain is: \[ [5, \infty) \]