The most difficult part of this will be keeping straight the definition we have established for the inverse function. It still follows that you just swap the elements of the ordered pairs of a function but to keep the formal definition in sight will certainly be the challenge.
I like that the composition of two inverse functions results in the identity function. It makes senses when I go back and think of how I learned it in high school but it is rather exciting to learn it in this newer context of sets, cartesian products and such.
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