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Original function with inverse

  1. Sep 12, 2014 #1
    1. The problem statement, all variables and given/known data

    Can an inverse function be determined as either even or odd simply given its original function?
     
  2. jcsd
  3. Sep 12, 2014 #2
    Claim 1: If ##f## is even, then ##f## is not invertible.

    Claim 2: If ##f## is odd and invertible, then ##f^{-1}## is odd.

    The proofs are left as exercises for the reader.
     
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