Find the Domain square root of 3x-1-5=x

Problem

√(,3*x−1)−5=x

Solution

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

2. Set up the inequality for the domain based on the radicand.

radicand≥0

3. Substitute the specific expression from the equation into the inequality.

3*x−1≥0

4. Solve the inequality for x by adding 1 to both sides.

3*x≥1

5. Divide both sides by 3 to isolate x

x≥1/3

Final Answer

Domain:x≥1/3

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