When is the second-third power of (x-1) + the third-half power of (x + 1) - (x-1) meaningful Clear, problem solving process

When is the second-third power of (x-1) + the third-half power of (x + 1) - (x-1) meaningful Clear, problem solving process

First of all, from one part of X, we can conclude that x cannot be equal to 0
Secondly, (x + 1) ^ 3 must be greater than 0, so x + 1 > 0 leads to x > - 1
X in (x-1) ^ 2 belongs to all real numbers
Their intersection is x > - 1 and X is not equal to 0