Find the Domain square root of 2x-4

Problem

√(,2*x−4)

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.

2*x−4≥0

3. Isolate the variable term by adding 4 to both sides of the inequality.

2*x≥4

4. Solve for x by dividing both sides by 2.

x≥2

5. Express the domain in interval notation. Since x can be any value from 2 to infinity, including 2, we use a square bracket.

[2,∞)

Final Answer

Domain:[2,∞)

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