When Can We Find the Inverse of a Function Composition?

[thereddevils]

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 ?

 

[Cilabitaon]

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?

 

[thereddevils]

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

 

[Cilabitaon]

yes , one to one relationships or many to one for functions and one to one only for inverse function

Then there's your answer!

 

[thereddevils]

Then there's your answer!

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