-∞ < x < ∞
EXPLAINATION:
The domain of the function y = ∛x, which are the possible values of x
includes the values; -∞ < x < ∞.
How can the domain of a function be obtained?
The domain of a function are the possible input values of the function
The given function is; y = ∛x
Therefore;
x = y³
When -y represent the negative value of y, we have;
(-y) × (-y) × (-y) = -y³ = -x
Therefore, the given function can take both positive and negative
values, which gives;
The domain = (-∞, ∞)
Which gives;
The domain of the function, ∛x is; -∞ < x < ∞