Find the Domain (1.3x^3+4.6x^2-3.2x)-(-4.8x^3-4.9x^2+76)

Problem

(1.3*x3+4.6*x2−3.2*x)−(−4.8*x3−4.9*x2+76)

Solution

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

2. Recall the properties of polynomial functions. Polynomials are defined for all real numbers because there are no denominators that could be zero and no even-indexed roots of negative numbers.

3. Determine the domain based on these properties. Since there are no restrictions on the variable x the domain includes every real number.

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

Final Answer

Domain:(−∞,∞)

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