Find the Domain x^2-6x=16

Problem

x2−6*x=16

Solution

1. Identify the type of expression provided. The expression x2−6*x=16 is a polynomial equation.

2. Determine the nature of the functions involved. Both sides of the equation, ƒ(x)=x2−6*x and g(x)=16 are polynomial functions.

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

4. Conclude that since there are no restrictions on the variable x in a polynomial equation, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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