Which statement best describes f of x is equal to negative 2 square root of x minus 7 end root plus 1 ?

The square root requires x − 7 ≥ 0, so the domain is x ≥ 7; therefore, −6 is not in the domain. To check the range, set f(x) = −6: −2√(x − 7) + 1 = −6 gives √(x − 7) = 3.5, which is possible (for example, at x = 19.25). Thus, −6 is in the range, matching the statement that it is not in the domain but is in the range.

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