1. **State the problem:** Find the domain of the function $$y = -\sqrt{x}$$. 2. **Recall the domain rule for square root functions:** The expression inside the square root must be greater than or equal to zero because the square root of a negative number is not a real number. 3. **Apply the domain rule:** For $$y = -\sqrt{x}$$, the radicand is $$x$$, so we require: $$x \geq 0$$ 4. **Interpret the domain:** This means $$x$$ can be zero or any positive number, but not negative. 5. **Write the domain in interval notation:** $$[0, \infty)$$ 6. **Answer:** The domain of $$y = -\sqrt{x}$$ is $$0 \leq x < \infty$$. This corresponds to the option: 0 ≤ x < ∞.