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 \(f^{-1}(f^{-1}(3))\)?
The points ( 1, 2) , ( 4, 3) and (7, 4) are on the graph of f(x)
The inverse reverses these....so.....the points ( 2, 1) , ( 3, 4) and (4, 7) are on the inverse
f-1(3) = 4
So
f-1 ( f-1 (3)) = f-1(4) = 7