What are the domain and range for the following function: f(x)= radical(x-3) + 2

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f(x) = √x - 3 + 2

The quantity inside the radical cannot be negative, so

x - 3 ≥ 0
x ≥ 3

Domain: [3, ∞)
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Since x ≥ 3,

y ≥ 2

Range [2, ∞)
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