Given to me by my math teacher. We were told it was some kind of proof but I dont really understand what it means...
pf (f^1 (x)) = x
What's the context? "pf" could mean "probability function", apart from that I haven't a clue. What level of mathematics - grade school, high school, university, postgrad? What field: probability/statistics, analysis, calculus, graph theory, topos theory, what?
note that if and (the usual notation for inverse functions) are inverses of each other, then:
and ..........that is, the composition of a function and it's inverse remains fixed. whatever the input is, that's what the output will be