Final answer:
It's unclear which inequality correctly represents the domain. The domain includes all the possible x-values for which the function is defined, expressed as an inequality.
Step-by-step explanation:
To determine which inequality best represents the domain of the function, we first need to understand what the domain of a function is.
The domain of a function consists of all the possible input values (x-values) for the function which yield valid output values. If the domain is expressed in the form of an inequality, it specifies the range of values that x can take.
From the options provided in the question, it seems that there might be a typo or misinformation, as the options given include both x-values and function values (g(x)).
Nonetheless, assuming the options are related to the x-values, the correct inequality should strictly specify the range of x-values over which the function is defined. If the function is associated with x-values between -9 and 2, the inequality would be -9 < x < 2. If it's between -6 and 3, it could be -6 < x ≤ 3 or -6 ≤ x < 3 depending on whether the endpoint is included or not.
We are missing the context to accurately determine which inequality correctly represents the domain of the 'part shown', but this explanation provides the general approach to identifying the domain from inequalities.