The domain of \( \mathrm{h}(\mathrm{x})=\sqrt{-\mathrm{x}}+6 \) is (Type your answer in interval notation

The expression inside the square root, \(-\mathrm{x}\), must be greater than or equal to zero for the function to be defined. This means \(-\mathrm{x} \geq 0\) or \(\mathrm{x} \leq 0\). Therefore, the domain of \(\mathrm{h}(\mathrm{x})\) consists of all non-positive real numbers. In interval notation, this is written as \((- \infty, 0]\). For all you math enthusiasts out there, remember that when dealing with square roots, ensuring that the radicand (the expression inside the root) is non-negative is essential. Otherwise, you'll be venturing into the realm of imaginary numbers, which is a whole different universe of math! Keep those roots real!