what-is-f-1-for-f-x-x-

Question Number 91588 by M±th+et+s last updated on 01/May/20

w h a t i s f^{- 1} f o r f (x) = ⌊ x ⌋ ? ?

Commented by mr W last updated on 01/May/20

x \to ⌊ x ⌋ i s a f u n c t i o n, b u t

⌊ x ⌋ \to x i s n o t a f u n c t i o n, b e c a u s e a n

e l e m e n t o f s e t ⌊ x ⌋ i s n o t a s s o c i a t e d

w i t h e x a c t l y o n e e l e m e n t o f s e t x .

Commented by MJS last updated on 01/May/20

f^{- 1} is no function

same problem with g (x) = c; c \in R . g^{- 1} (x) = ?

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