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Find the Domain x^2-9=0

Problem

x2−9=0

Solution

  1. Identify the nature of the expression. The expression x2−9 is a polynomial.

  2. Determine the domain of a polynomial. Polynomials are defined for all real numbers because there are no denominators that could be zero and no square roots of negative numbers.

  3. Analyze the equation. While the task asks for the domain of the expression x2−9 in the context of the equation x2−9=0 the domain refers to the set of all possible input values for x for which the expression is defined.

  4. Conclude that since there are no restrictions on x the domain is all real numbers.

Final Answer

Domain=(−∞,∞)


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