Given that f(x) is a function such that f(1)=2, f(4)=3, f(7)=4, and f^-1(x) is the inverse of f(x), what is

f^-1(f^-1(3))?

I am really getting confused with the two F^-1. Please help. Thank you.

just evaluate as you would anyu other expression. work your way out from the inside:

f^-1(3) = 4 (because they told you that f(4) = 3)
So, now you want

f^-1(4)
That is 7, because f(7) = 4

The final answer is 7.