Find the Domain

Problem

45*x2−524*x2+2080*x+6055+(x3+11*x2+21*x+183)

Solution

1. Identify the type of function presented. The expression is a polynomial because it consists of terms with non-negative integer exponents of x combined using addition and subtraction.

2. Recall 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.

3. Conclude that since the expression is a polynomial, the variable x can take any real value.

Final Answer

Domain: *(−∞,∞)

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