Find the Domain x^4-6x^3+13x^2-24x+36

Problem

x4−6*x3+13*x2−24*x+36

Solution

1. Identify the type of function. The expression x4−6*x3+13*x2−24*x+36 is a polynomial function.

2. Recall the properties of polynomial functions. Polynomials are defined for all real numbers because they do not involve division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the domain. Since there are no restrictions on the input x the domain consists of all real numbers.

Final Answer

Domain: *(−∞,∞)

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