Final answer:
The domain for f(x) is all real numbers greater than or equal to 2.
Step-by-step explanation:
The function f(x) = 2x²+5(x-2) is a quadratic function. The domain of a quadratic function is all real numbers, unless there are restrictions stated in the problem. In this case, there are no restrictions mentioned, so the domain for f(x) is all real numbers. The statement is: The domain for f(x) is all real numbers greater than or equal to 2.