Find the Domain g(x) = square root of 3x-6

Problem

g(x)=√(,3*x−6)

Solution

1. Identify the restriction for a square root function, which requires the radicand (the expression inside the square root) to be greater than or equal to zero.

3*x−6≥0

2. Add 6 to both sides of the inequality to begin isolating the variable.

3*x≥6

3. Divide both sides by 3 to solve for x

x≥2

4. Express the solution in interval notation to define the domain of the function.

[2,∞)

Final Answer

Domain of *g(x)=[2,∞)

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