Final answer:
The domain of the function h(x) = √x - 7 + 5 is x ≥ 49.
Step-by-step explanation:
The domain of a function refers to the set of all possible input values (x-values) of the function. In this case, the function is h(x) = √x - 7 + 5. However, the square root function (√x) is only defined for non-negative real numbers. Therefore, in order for the function h(x) to be defined, the expression inside the square root (√x - 7) must be greater than or equal to zero. Solving the inequality √x - 7 ≥ 0, we find that x ≥ 49.
So, the domain of the function h is x ≥ 49. This means that any input value of x that satisfies this condition will produce a valid output.
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