Find the Domain x^3-27=0

Problem

x3−27=0

Solution

1. Identify the type of expression provided. The expression x3−27 is a polynomial function.

2. Determine the constraints for the domain. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

3. Conclude that since there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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