Find the Domain square root of 5x

Problem

√(,5*x)

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:

5*x≥0

3. Solve for x by dividing both sides of the inequality by 5 Since 5 is a positive number, the inequality sign remains the same:

x≥0/5

4. Simplify the result to find the values of x that satisfy the condition:

x≥0

5. Express the domain in interval notation, which includes all real numbers from 0 to infinity.

Final Answer

Domain: *[0,∞)

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