Find the Domain 5x^4-10x^3-6x^2+2x-10

Problem

5*x4−10*x3−6*x2+2*x−10

Solution

1. Identify the type of function given. The expression 5*x4−10*x3−6*x2+2*x−10 is a polynomial function.

2. Recall the properties of polynomial functions. Polynomials are defined for all real numbers because they do not involve division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the domain based on these properties. Since there are no restrictions on the input x the domain consists of all real numbers.

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

Final Answer

Domain=(−∞,∞)

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