Find the Domain 8z^3-4z^2+11z-2

Problem

8*z3−4*z2+11*z−2

Solution

1. Identify the type of function given. The expression 8*z3−4*z2+11*z−2 is a polynomial function.

2. Determine the restrictions for polynomials. Polynomials are defined for all real numbers because they do not contain divisions by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Conclude that the domain consists of all possible values for the variable z In the context of real-valued functions, this is the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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