Find the Domain x^2-6x-64=8

Problem

x2−6*x−64=8

Solution

1. Identify the type of expression provided. The expression x2−6*x−64=8 is a quadratic equation.

2. Determine the nature of the function involved. The expression on the left side, ƒ(x)=x2−6*x−64 is a polynomial function.

3. Apply the definition of the domain for polynomial functions. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

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

Final Answer

Domain: *(−∞,∞)

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