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I'm trying to solve this but I haven't seen syntax like this before. Can someone please explain the syntax?

http://i.imgur.com/GO1Ki.png

The image is

Show that the one-to-one function $f^{-1} : N_{10} \Rightarrow N_b $ is the inverse of $f: N N_{b} \Rightarrow N_{10}$.

Hint: Show that $f^{-1} (f (n_b) ) = n_b$

I'm not sure how to format math on stackexchange either, so if someone could add what's in the png that would be great as well.

This is from a worksheet of things I should know before entering an assembly language class next semester.

Thanks!

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    Given the context, I think it means that you are converting from base 10 to base b, and vice versa. You are asked to show that converting the integer $n$ from base 10 to base b and then from base b to base 10, gives the integer $n$ (which seems obvious).2012-12-31
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    I agree. It looks like there's an extra N at the domain of the second function, but everything indicates you are changing between base 10 and base b.2012-12-31
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    Hmmm. I'm not sure how to go about showing that besides with an example, but I'm guessing it's not looking for an example. Thank you both for the explanation of what it's asking for though, which is a big help and step in the right direction.2012-12-31

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