Find the Domain 74 cube root of r

Problem

74√(3,r)

Solution

1. Identify the type of function provided. The expression 74√(3,r) is a radical function with an odd index (3).

2. Determine the constraints for the radicand. For any radical function with an odd index, such as a cube root, the radicand r can be any real number (positive, negative, or zero).

3. State the domain in interval notation. Since there are no restrictions on r the domain includes all real numbers from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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