Find the Domain 3x-5=2- square root of x

Problem

3*x−5=2−√(,x)

Solution

1. Identify the restriction for the square root function. For the expression √(,x) to be defined in the set of real numbers, the radicand must be non-negative.

2. Set up the inequality based on the radicand.

x≥0

3. Observe that the other terms in the equation, 3*x −5 and 2 are polynomials and are defined for all real numbers.

4. Determine the domain by combining the restrictions. Since the only restriction is x≥0 the domain consists of all real numbers greater than or equal to zero.

5. Express the domain in interval notation.

[0,∞)

Final Answer

Domain:[0,∞)

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