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Find the Domain x^3+6x^2+8x

Problem

x3+6*x2+8*x

Solution

  1. Identify the type of function provided. The expression x3+6*x2+8*x is a polynomial function.

  2. Determine the restrictions for the domain. Polynomials do not contain any operations that restrict the input, such as division by zero (fractions) or taking the square root of a negative number (even radicals).

  3. Conclude that the function is defined for all real numbers. In interval notation, this is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)


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