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Show that a. fis T is one-to-one iff there is a function 8:T → S such that 8of = Is; we call g a left inverse of f. b. f
Posted: Tue Sep 07, 2021 7:41 am
by answerhappygod
- Show That A Fis T Is One To One Iff There Is A Function 8 T S Such That 8of Is We Call G A Left Inverse Of F B F 1 (87.69 KiB) Viewed 59 times
Show that a. fis T is one-to-one iff there is a function 8:T → S such that 8of = Is; we call g a left inverse of f. b. f:S + T is onto iff there is a function h:T + S such that foh= lī; we call h a right inverse of f. A map f:s T is a bijection iff there is a map 8: T + S such that fog = ly and gof = Is. Show also that g=f-1 and is uniquely determined. C.