Determine the domain of the following function. \( y=\sqrt{x-6} \) The domain is \( \square \). (Type your answer in interval notation.)

To determine the domain of the function \( y=\sqrt{x-6} \), we need the expression under the square root to be non-negative. This means \( x - 6 \geq 0 \). Solving this inequality gives us \( x \geq 6 \). Therefore, the domain in interval notation is \( [6, \infty) \). Remember, the square root function only accepts zero or positive numbers, so it’s crucial to identify those values to ensure the function outputs real numbers! Function domains can sometimes be puzzling, but just stick to the rules of arithmetic—works like a charm!