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Find the Domain (x-(5-3i))(x-(5+3i))

Problem

(x−(5−3*i))*(x−(5+3*i))

Solution

  1. Identify the type of expression provided. The expression is a polynomial in terms of x specifically a quadratic function if we let ƒ(x)=(x−(5−3*i))*(x−(5+3*i))

  2. Determine the constraints on the variable x In a polynomial expression, there are no denominators containing x no square roots of expressions containing x and no logarithms.

  3. Apply the definition of the domain for polynomials. Polynomials are defined for all real numbers unless otherwise specified.

  4. Conclude that since there are no values of x that would make the expression undefined, the domain is the set of all real numbers.

Final Answer

Domain:(−∞,∞)


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