Find the Domain -4+4i square root of 3
Problem
Solution
Identify the nature of the expression. The expression
−4+4*i√(,3) is a specific complex number, not a function of a variable.Define the domain. In mathematics, the domain is the set of all possible input values for which a function is defined.
Determine the domain of a constant. Since this expression contains no variables (like
x orz , it is a constant value.Conclude the domain. For any constant expression
c if viewed as a constant functionƒ(x)=c the domain is the set of all complex numbersℂ or all real numbersℝ depending on the context of the input variable. However, as a standalone value, the concept of a domain does not apply in the same way it does to functions. In the context of functions of a complex variable, we assume the input can be any complex number.
Final Answer
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