Final answer:
The domain of the function f(x) = 2x - 31 + 1 is all real numbers, hence the correct answer is d) x .
Step-by-step explanation:
The question asks to identify the domain of the function f(x) = 2x - 31 + 1. The domain of a function is the set of all possible input values (x-values) that the function can accept without causing any mathematical issues like division by zero or taking the square root of a negative number. Since the given function is a linear function without any such restrictions, its domain consists of all real numbers.
Accordingly, the correct answer is:
d) x = all real numbers