Find the Domain square root of x+7

Problem

√(,x+7)

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+7≥0

3. Solve the inequality for x by subtracting 7 from both sides.

x≥−7

4. Express the domain in interval notation. Since x can be any value from −7 up to infinity, including −7 we use a square bracket for the lower bound.

[−7,∞)

Final Answer

Domain:{[x∈ℝ,x≥−7]}=[−7,∞)

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