Answer:
Step-by-step explanation:
To determine the domain of a function, we need to identify any values of x that would result in undefined or imaginary outputs. In the given function y = ³√(x - 1), the cube root function is defined for all real numbers.
However, we need to consider the denominator of the function, which is (x - 1). The function will be undefined when the denominator is equal to zero, as division by zero is undefined. Therefore, we need to find the values of x that make the denominator zero.
Setting the denominator equal to zero, we have:
x - 1 = 0
Solving for x, we find:
x = 1
So, the function y = ³√(x - 1) is undefined when x = 1. Therefore, the domain of the function is all real numbers except x = 1. In interval notation, we can express the domain as (-∞, 1) U (1, +∞).
