Find the Domain square root of 2x+3

Problem

√(,2*x+3)

Solution

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

2. Set up the inequality based on the radicand.

2*x+3≥0

3. Isolate the term containing x by subtracting 3 from both sides of the inequality.

2*x≥−3

4. Solve for x by dividing both sides by 2 Since 2 is a positive number, the inequality sign remains the same.

x≥−3/2

5. Express the domain in interval notation. The values of x start at −3/2 (inclusive) and go to infinity.

[−3/2,∞)

Final Answer

Domain:[−3/2,∞)

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