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Homework Help: When does g^(-1) f exist

  1. Apr 6, 2010 #1
    1. The problem statement, all variables and given/known data

    What is the condition for the function g^(-1)f to exist ?

    2. Relevant equations



    3. The attempt at a solution

    i know for function gf to exist , the range of f must be a subset or equal to the domain of g . Does it also work for g^(-1)f ? what is the logic behind that ?
     
  2. jcsd
  3. Apr 6, 2010 #2
    Re: fucntion

    Do you know which types of relationships are considered functions?
     
  4. Apr 6, 2010 #3
    Re: fucntion

    yes , one to one relationships or many to one for functions and one to one only for inverse function
     
  5. Apr 6, 2010 #4
    Re: fucntion

    Then there's your answer!
     
  6. Apr 6, 2010 #5
    Re: fucntion

    thanks ! How is it different when its fg^(-1) ?
     
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