Final answer:
The correct inequality to find the domain of the function f(x) is 4x + 9 ≥ 0, ensuring the square root is defined for non-negative numbers.
Step-by-step explanation:
The domain of the function f(x) = √(4x + 9) + 2 can be found by considering the requirements for the function to have real values. Since square roots are defined for non-negative numbers, the expression inside the square root must be greater than or equal to zero. Therefore, the correct inequality to find the domain of f(x) is 4x + 9 ≥ 0. Solving for x will give you the domain.