Find the Domain (4n-3n^3)-(3n^3+4n)

Problem

(4*n−3*n3)−(3*n3+4*n)

Solution

1. Identify the type of expression provided. The expression (4*n−3*n3)−(3*n3+4*n) is a polynomial in terms of the variable n

2. Recall the definition of the domain for polynomial functions. A polynomial is defined for all real numbers because there are no denominators that could be zero and no even roots of negative numbers.

3. Simplify the expression to confirm its form. Distribute the negative sign and combine like terms.

(4*n−3*n3)−3*n3−4*n

4. Combine the terms.

4*n−4*n−3*n3−3*n3=−6*n3

5. Conclude that since the simplified expression −6*n3 is a polynomial, the variable n can take any real value.

Final Answer

Domain: *(−∞,∞)

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