Let there be a function f(x) which maps through all real numbers. If f(2)=1/9, f(f(x))=1/3x, find f(1/6).

So far, my progress is that if we plug in f(2) into f(f(x)) we get f(f(2))=f(1/9)=1/6. Also, f(f(1/6))=2. However, I'm not sure how this can help us. May I have some help? Thanks in advance.

Guest May 5, 2021