Find the Domain square root of x

Problem

√(,x)

Solution

1. Identify the restriction for a square root function. For the output of a square root to be a real number, the radicand (the expression inside the root) must be non-negative.

2. Set up the inequality based on the radicand x

x≥0

3. Express the solution in interval notation. Since x can be any value from 0 to infinity, including 0 we use a square bracket for the lower bound.

[0,∞)

Final Answer

Domain of √(,x)={[x∈ℝ,x≥0]}

Want more problems? Check here!