Let f: X Y be a function, where X and Y are non-empty sets. If f is onto, prove there exists a function g: Y→ X such that fog = idy.
Let f: X Y be a function, where X and Y are non-empty sets. If f is onto, prove there exists a function g: Y→ X such that fog = idy.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 4E: We can express the function in Exercise 3 algebraically as f(x)=g(x)= (fg)(x)=(gf)(x)=
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