Final answer:
The range of the given function is f(x) ≥ -3.
Step-by-step explanation:
The range of a function refers to the set of all possible values that the function can output. In this case, the function is given as f(x) = √(x+3) - 7.
To find the range, we need to consider the domain of the function, which is the set of all possible input values. Since the square root function is defined only for non-negative numbers, the input must be greater than or equal to -3.
The expression √(x+3) - 7 can be simplified further. If we set it equal to 0, we can solve for x and find that x = 44. Therefore, the function outputs values greater than or equal to -3 and less than or equal to 44. Hence, the correct answer is f(x) ≥ -3.
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