Find the domain of the function. \[ f(x)=\sqrt{x}-3 \] Write your answer using interval notation.

To find the domain of the function \( f(x) = \sqrt{x} - 3 \), we need to ensure that the expression inside the square root is non-negative, because you can’t take the square root of a negative number in the real number system. Thus, we have the condition: \[ x \geq 0 \] This means that \( x \) can take any value starting from 0 and going to positive infinity. Therefore, the domain in interval notation is: \[ [0, \infty) \] To make this clearer, think of a number line where everything to the left of 0 is banned for this function. Starting at 0, you can move right to infinity without any restrictions - hence the square bracket at 0 indicates that this point is included, while the parenthesis at infinity signifies that you can head off endlessly in that direction!