Final answer:
The simplified base of the function f(x) = 1/4 (3 square root of 108) is 27.
Step-by-step explanation:
The simplified base of the function f(x) = 1/4 (3√108) is 27.
To simplify this, we can start by finding the square root of 108, which is 3√3 = 3 * 3.46 = 10.39.
Then, we can divide 10.39 by 4 to get the simplified base of 2.60.
However, there is an error in the given function, as 2.60 is not a perfect square.
The closest perfect square to 2.60 is 3, so the correct simplified base is 3.