Find the Domain x^8+80x^4-81=0

Problem

x8+80*x4−81=0

Solution

1. Identify the type of expression provided. The expression x8+80*x4−81 is a polynomial function.

2. Recall the definition of the domain for polynomial functions. A polynomial is defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

3. Determine the set of all possible input values for x Since there are no restrictions on the variable x in a polynomial expression, the domain is the set of all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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