Find the domain of `f(x) = sqrt(x-1)`.

Explanation

To find the domain of the function \( f(x) = \sqrt{x - 1} \), we need to determine the set of values for \( x \) for which the function is defined. The square root function is defined only for non-negative values. Therefore, we need to ensure that the expression inside the square root is greater than or equal to zero.

### Step-by-step Solution:

1. **Set up the inequality**:
We need the expression under the square root to be non-negative:
\[
x - 1 \geq 0
...