Final answer:
The function's domain, which refers to the possible x-values, is all real numbers given by the range (-∞, ∞) because it is a sinus function.
Step-by-step explanation:
The function presented is 1/3y = 2sinx. If we isolate the domain of the original function, it's referring to the set of all possible x-values, which can be plugged into the function. In this function, x is under the sin function. The sinus function is defined for all real numbers. Therefore, the domain of the function is all real numbers or (-∞, ∞).
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