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

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- Jul 7th 2008, 01:14 PMtaradoes anyone know what this means?
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 - Jul 7th 2008, 02:02 PMMatt Westwood
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?

- Jul 7th 2008, 02:18 PMtara
College pre-calculus and we are working on function, maxima, stretching, that kind of thing. thank you for answering...

- Jul 7th 2008, 03:17 PMJhevon
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