Inverse function (bijection requirement) (Inverse swaps input/output; exists iff f is bijective X→Y)

jee-mainjee-advanced

Inverse swaps input/output; exists iff f is bijective X→Y

What each symbol means

SymbolWhat it stands for
fBijection X → Y
f^{-1}Inverse Y → X

When to use this

Only well-defined for bijections onto the stated codomain (or restrict codomain to range).