What are the domain and range of the function f of x is equal to square root of x minus 7 end root plus 9 ?

For the square root to be defined, the expression under the radical must be nonnegative: x − 7 ≥ 0, so the domain is x ≥ 7. A square root is always nonnegative, so √(x − 7) + 9 ≥ 9, giving the range y ≥ 9. Thus, the correct choice is A: domain x ≥ 7 and range y ≥ 9.

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