Which function has a domain of x is greater than or equal to 5 and a range of y is less than or equal to 3 ?

A square-root function with domain x ≥ 5 must have x − 5 inside the square root, since x − 5 is nonnegative only when x ≥ 5. To make its range y ≤ 3, the square root is reflected downward and shifted up 3 units: y = −√(x − 5) + 3. This is choice B.

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