Final answer:
D. All real numbers. The domain of the function f(x) = x² + 3x + 5 is all real numbers.
Step-by-step explanation:
The domain of the function f(x) = x² + 3x + 5 is all real numbers, which is option D. The domain of a quadratic function is always all real numbers, as the input variable x can take any real value. In this case, the function f(x) = x² + 3x + 5 is not restricted by any limitations.