Find the Domain g(x)=x^3-1

Problem

g(x)=x3−1

Solution

1. Identify the type of function provided. The function g(x)=x3−1 is a polynomial function.

2. Determine if there are any restrictions on the input x Polynomials do not contain even roots of negative numbers, divisions by zero, or logarithms of non-positive numbers.

3. Conclude that the function is defined for all real numbers because there are no values of x that would make the expression undefined.

4. Express the domain in interval notation, which represents the set of all real numbers.

Final Answer

Domain: *(−∞,∞)

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