Find the Domain fifth root of -3x+1.1

Problem

√(5,−3*x+1.1)

Solution

1. Identify the type of function. The expression is a radical function with an index of 5

2. Determine the property of the index. Since 5 is an odd number, the fifth root is defined for all real numbers, including negative values, zero, and positive values.

3. Analyze the radicand. The expression inside the radical, −3*x+1.1 is a linear polynomial, which is defined for all real numbers x

4. Conclude the domain. Because there are no restrictions such as division by zero or even-indexed roots of negative numbers, the domain is all real numbers.

Final Answer

Domain: *(−∞,∞)

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