Find the Domain square root of u+7-4=3

Problem

√(,u+7)−4=3

Solution

1. Identify the expression inside the square root. For a square root to be defined in the set of real numbers, the radicand must be greater than or equal to zero.

2. Set up the inequality for the domain based on the radicand u+7

u+7≥0

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

u≥−7

4. Express the domain in interval notation.

[−7,∞)

Final Answer

Domain={u∈ℝ|u≥−7}

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