1. The problem is to identify the domain and range of the function $$y = \sqrt{x - 4}$$. 2. The domain of a square root function $$y = \sqrt{f(x)}$$ requires the expression inside the root to be non-negative: $$x - 4 \geq 0$$. 3. Solve the inequality for the domain: $$x - 4 \geq 0$$ $$\Rightarrow x \geq 4$$ 4. The range of a square root function is all non-negative real numbers because the square root outputs zero or positive values: $$y \geq 0$$ 5. Therefore, the domain is $$\{x | x \geq 4\}$$ and the range is $$\{y | y \geq 0\}$$. 6. Comparing with the options, the correct answer is option B. Final answer: Domain $$D = \{x | x \geq 4\}$$ and Range $$R = \{y | y \geq 0\}$$.