Final answer:
The domain of the function y = 4sin(x) is all real numbers, which is mathematically represented as (-∞, ∞).
Step-by-step explanation:
The domain of a function refers to all the possible input values (x-values) that the function can accept. For the trigonometric function y = 4sin(x), the sine function accepts all real numbers as input values. Therefore, the domain of the function y = 4sin(x) is all real numbers, which can be represented mathematically as −∞ < x < ∞ or (-∞, ∞).
Since this question appears to be a multiple choice question but the options are not provided, we cannot select the correct answer choice. However, if one of the options says 'all real numbers' or something equivalent, that would be the correct choice for the domain of y = 4sin(x).