For the function f(x), f^-1(x), and y=x where the function of f(x)'s order pairs are (0,2)(1,3)(2,6,)(3,11) and and the order pairs of f^-1(x) are (2,0)(3,1)(6,2)(11,3). How do i show that this inverse is correct by using the Composition of Functions?

Question

anonymous · Answer

show that:$$f(f^{-1}(x)) = x$$
and then show that:
$$f^{-1}(f(x)) =x$$
For example:
$$f(f^{-1}(3)) = f(1) = 3$$
Just show more examples like that :)