If f(x)=ax+bcx+df(x) = \frac{ax+b}{cx+d}f(x)=cx+dax+b satisfies f(f(x))=xf(f(x)) = xf(f(x))=x for all xxx in the domain and f(1)=3f(1) = 3f(1)=3, f(2)=0f(2) = 0f(2)=0, what is the value of f(4)f(4)f(4)?
−1-1−1
111
222
333