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When does g^(-1) f exist

  • #1
438
0

Homework Statement



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

Homework Equations





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 ?
 

Answers and Replies

  • #2
69
0


Homework Statement



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

Homework Equations





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 ?
Do you know which types of relationships are considered functions?
 
  • #3
438
0


Do you know which types of relationships are considered functions?
yes , one to one relationships or many to one for functions and one to one only for inverse function
 
  • #4
69
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yes , one to one relationships or many to one for functions and one to one only for inverse function
Then there's your answer!
 
  • #5
438
0


Then there's your answer!
thanks ! How is it different when its fg^(-1) ?
 

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