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Find the Domain 2x^3+x^2-25x+12

Problem

2*x3+x2−25*x+12

Solution

  1. Identify the type of function provided. The expression 2*x3+x2−25*x+12 is a polynomial function.

  2. Determine the restrictions for the domain. Polynomial functions do not contain square roots of negative numbers, divisions by zero, or logarithms of non-positive numbers.

  3. Apply the rule for polynomials. Since there are no values of x that make the expression undefined, the domain consists of all real numbers.

  4. State the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)


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