Final answer:
The domain of the function f(x) = 4x + 9 + 2 is all real numbers, but it is restricted to 0 ≤ x ≤ 20 based on additional information provided. Thus, none of the provided inequalities are required or correct for establishing this domain.
Step-by-step explanation:
The domain of a function is the set of all possible values of the independent variable x where the function is defined. In the case of the function f(x) = 4x + 9 + 2, there are no restrictions on the x-values for which this linear function is defined because all real numbers are valid inputs for x. However, the question provides additional information that the domain we're interested in is for 0 ≤ x ≤ 20. This means we are looking at the portion of the function that exists between and including x = 0 and x = 20. None of the given inequalities are necessary to find the domain since the domain was explicitly given in the question, but if we needed to establish an inequality for the domain, it would be 0 ≤ x ≤ 20, none of the provided options correctly reflect this.