This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# Inverse

From Mathematics Is A Science

Jump to navigationJump to searchGiven a function f: X → Y, its *inverse* is a function f^{-1}: Y → X satisfying:

f^{-1}f = id_{X}and ff^{-1}= id_{Y}.

Such a function exists when f is invertible or bijective. Then f^{-1} is unique.