Question

What is the domain of the function y= 2√√x-5?
O x2-5
O x≥2
O x≥5
O x≥ 10

Answer 1

The domain of the function y=2√√x-5 is x ≥ 5.

Step-by-step explanation:

The function y=2√√x-5 can be broken down into two parts: 2√(√x) and 2√(x-5). The domain is the set of all real numbers that make these expressions valid.

1. To ensure 2√(√x) is valid, we need the expression inside the square root to be non-negative, meaning √x ≥ 0. This gives us x ≥ 0.
2. For 2√(x-5) to be valid, we need the expression inside the square root to be non-negative as well, so x-5 ≥ 0. Solving this inequality, we get x ≥ 5.

Combining the domains of both parts, we find that the domain of the function is given by x ≥ 5, which means the correct answer is x ≥ 5.

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