Question
Let the function f(x) and g(x) be defined as
f(x)=⎧⎨⎩√x0≤x<12−x1≤x<2f(x+2) ∀x∈R and g(x)=4f(3x)+1, ∀x∈R.
Let A denotes the sum of all the solutions of the equation f(x)=0.6, 3≤x≤7.
B denotes the fundamental period of g(x).
C denotes the value of g′(6.75).
Then, the value of [ABC] is
(where [.] represents greatest integer function)