Find the Domain x^3+i=0

Problem

x3+i=0

Solution

1. Identify the nature of the expression. The given expression x3+i=0 is a polynomial equation in the complex plane.

2. Determine the domain of the variable x In the context of solving a polynomial equation where no specific constraints are given, the domain consists of all values for which the expression is defined.

3. Analyze the function ƒ(x)=x3+i This is a polynomial function. Polynomials are defined for all complex numbers.

4. Conclude that since there are no denominators, square roots of variables, or logarithms that would restrict the input, the domain is the set of all complex numbers.

Final Answer

Domain:x∈ℂ

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