Find the Domain y = square root of x-3

Problem

y=√(,x−3)

Solution

1. Identify the restriction for a square root function. For the output to be a real number, the expression inside the radical (the radicand) must be greater than or equal to zero.

2. Set up the inequality based on the radicand.

x−3≥0

3. Solve the inequality for x by adding 3 to both sides.

x≥3

4. Express the domain in interval notation. Since x can be any value from 3 to infinity, including 3 we use a square bracket.

[3,∞)

Final Answer

Domain:[3,∞)

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