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show all the work pls The domain of the function 1/3 y = + 2 sin x 1 is 2 2 A) [1 [1,1 B) [7,77] C) (--, -145] [145,-) 3 D) [ +5,77 +5 E) (--,1])

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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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