Find the Domain 9x^2-6x+1=0

Problem

9*x2−6*x+1=0

Solution

1. Identify the type of expression provided. The expression 9*x2−6*x+1 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 the domain of any quadratic polynomial ƒ(x)=a*x2+b*x+c is the set of all real numbers.

4. Express the domain in interval notation or set-builder notation.

Final Answer

Domain: *(−∞,∞)

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