🧠 GRE Exam Prep

For the function f(x) = √(x - 3) + 5, which of the following statements is true about its domain and range?

A Domain: x ≥ 3, Range: f(x) ≥ 5
B Domain: x > 3, Range: f(x) > 5
C Domain: x ≥ 0, Range: f(x) ≥ 0
D Domain: x is any real number, Range: f(x) ≥ 5

✓ Correct Answer: Option A

For the square root √(x-3) to be defined, x-3 must be non-negative, so x ≥ 3 (Domain). Since √value ≥ 0, √(x-3) ≥ 0. Thus, f(x) = √(x-3) + 5 ≥ 5 (Range).

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