Final answer:
The range of the function f(x) = √(3x-12)^2 in set notation is y .
Step-by-step explanation:
The range of a function represents the set of all possible output values. To find the range of the function f(x) = √(3x-12)^2, we need to consider the possible values of (3x-12)^2. Since the square of a number can never be negative, the function will only output non-negative values. Therefore, the range in set notation is y ∈ ℝ, y ≥ 0.