Find the Domain f(x)=-x^4+4x^2-x-5

Problem

ƒ(x)=−x4+4*x2−x−5

Solution

1. Identify the type of function. The given expression is a polynomial function of degree 4.

2. Determine the restrictions. 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.

3. State the domain. Since there are no values of x that make the expression undefined, the domain is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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