Find the Domain x^2+16=0

Problem

x2+16=0

Solution

1. Identify the nature of the task. The expression x2+16=0 is an equation, and you are asked to find the domain.

2. Determine the domain of the expression. The expression x2+16 is a polynomial.

3. Apply the definition of a domain for polynomials. Polynomials are defined for all real numbers because there are no denominators that could be zero and no square roots of negative numbers within the expression itself.

4. Conclude that the domain is the set of all real numbers, often represented as (−∞,∞) or ℝ

Final Answer

Domain:(−∞,∞)

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