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
any ideas?
Thanks guys
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?
ok, so i do not know what "pf" is supposed to mean. perhaps you copied it wrong. this may have to do with inverse functions, that's the closest thing i see to this.
note that if $\displaystyle f(x)$ and $\displaystyle f^{-1}(x)$ (the usual notation for inverse functions) are inverses of each other, then:
$\displaystyle f(f^{-1}(x)) = x$ and $\displaystyle f^{-1}(f(x)) = x$ ..........that is, the composition of a function and it's inverse remains fixed. whatever the input is, that's what the output will be