Find the Domain 2 square root of 8xx square root of 8x^2

Problem

ƒ(x)=2√(,8*x)⋅√(,8*x2)

Solution

1. Identify the constraints for the square root functions, which require the radicand (the expression inside the square root) to be greater than or equal to zero.

2. Set up the inequality for the first square root: 8*x≥0

3. Solve the first inequality by dividing both sides by 8 x≥0

4. Set up the inequality for the second square root: 8*x2≥0

5. Analyze the second inequality: since x2 is always non-negative for all real numbers, 8*x2≥0 is true for all x

6. Determine the intersection of the two conditions: x≥0 and all real numbers results in x≥0

Final Answer

Domain:[0,∞)

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