Final answer:
The restricted domain function is C. g(x) = √(x+4), x > -4, which defines the valid range of x values for which the square root function is real and meaningful.
Step-by-step explanation:
The function g(x) for a restricted domain among the given options is C. g(x) = √(x+4), x > -4. The restriction specifies the range of x values for which the function is defined or is valid. A restricted domain places constraints on the variable x, which limits the set of possible inputs to the function. Specifically, the square root function g(x) = √(x+4) is only real and defined when the expression under the radical is non-negative, which is why the restriction x > -4 is applied. If you have a function such as f(x) with the domain 0 ≤ x ≤ 20, it means the function values are considered only between the values of 0 and 20 inclusive. In probability and continuous functions, such as f(x) over 0 ≤ x ≤ 12, the restricted domain helps in calculating probabilities over specified intervals, like P(0 < x < 12).