Final answer:
The domain of the function y = ∛(x - 1) is all real numbers since cube roots are defined for all real numbers. The domain in interval notation is (-∞, +∞).
Step-by-step explanation:
The question asks for the domain of the function y = ∛(x - 1), where the root is a cube root. The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this case, since we are dealing with a cube root, the function is defined for all real numbers because cube roots are defined for all real numbers, including negative numbers, zero, and positive numbers. Therefore, the domain of this function is all real numbers, which can be written in interval notation as (-∞, +∞).