Find the Domain fourth root of x

Problem

√(4,x)

Solution

1. Identify the type of function. The expression √(4,x) is an even root function.

2. Determine the constraint for the radicand. For any even root √(n,ƒ(x)) where n is even, the expression inside the root must be greater than or equal to zero to remain in the set of real numbers.

3. Set up the inequality based on the radicand.

x≥0

4. Express the domain in interval notation. Since x can be any value from 0 to infinity, including 0 the interval is [0,∞)

Final Answer

Domain of √(4,x)=[0,∞)

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