Final answer:
The domain of the function y = √(x + 6) - 7 is all x values greater than or equal to -6, which is represented as [-6, ∞) in interval notation.
Step-by-step explanation:
The domain of a function refers to the set of all possible input values (typically 'x' values) for which the function is defined. For the function y = √(x + 6) - 7, the domain includes all x values such that the expression under the square root, x + 6, is non-negative, because the square root of a negative number is not defined in the set of real numbers. To find the domain, we set the expression under the square root to be greater than or equal to zero: x + 6 ≥ 0. Solving this inequality, we find x ≥ -6. Therefore, the domain of the function is x ≥ -6, or in interval notation, [-6, ∞).