Final answer:
The domain of a discrete finite function refers to the set of all possible discrete input values. Options B and D reflect discrete, finite sets suitable for a function's domain, yet without the function G(x) details, it's impossible to definitively choose between them.
Step-by-step explanation:
The question asks, "What is the domain of the discrete finite function G(x)?" In mathematics, particularly in the context of functions and their domains, the domain refers to the set of all possible input values (x-values) for which the function is defined. In this case, G(x) is described as a discrete finite function, implying that its domain consists of a limited set of individual points.
Answer options are provided, and only one of them will represent the domain correctly. Option A, B, and D list sets with distinct finite elements, while Option C represents all possible real numbers, which indicates a continuous domain.
Since the function G(x) is specified as discrete and finite, we look for an option that lists distinct, separated values. Among the provided options, Option B: {1,2,4,7,9} and Option D: {3,5,8} are the only two that fit this description. Without additional information on the function G(x), it's impossible to determine which of these sets represents its domain. If we had the specific function G(x), we could more accurately identify its domain. However, based on the available information, a definite conclusion cannot be made, so a choice between Option B and Option D would be arbitrary.