Find the Domain 5x^4-3x^2+12+(3x^4-7x-2x+3)

Problem

5*x4−3*x2+12+(3*x4−7*x−2*x+3)

Solution

1. Identify the type of function. The expression is a polynomial because it consists of terms with non-negative integer exponents and real coefficients.

2. Combine like terms to simplify the expression.

5*x4+3*x4−3*x2−7*x−2*x+12+3

8*x4−3*x2−9*x+15

3. Determine the domain. Polynomial functions are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

4. Express the domain in interval notation. Since the function is defined for every value of x the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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