Find the Domain f(x)=2x^3+4x

Problem

ƒ(x)=2*x3+4*x

Solution

1. Identify the type of function. The given function ƒ(x)=2*x3+4*x is a polynomial function.

2. Determine if there are any restrictions. Polynomials do not contain denominators with variables, square roots of negative numbers, or logarithms.

3. Apply the rule for polynomial domains. Since there are no values of x that would make the expression undefined, the function is defined for 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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