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Let f : X → Y be an invertible function. Show that f has unique inverse. (Hint: suppose g 1 and g 2 are two inverses of f . Then for all y ∈ Y , f o g 1 ( y ) = I Y ( y ) = f o g 2 ( y ). Use one-one ness of f ). |
| Answer» Let f : X → Y be an invertible function. Show that f has unique inverse. (Hint: suppose g 1 and g 2 are two inverses of f . Then for all y ∈ Y , f o g 1 ( y ) = I Y ( y ) = f o g 2 ( y ). Use one-one ness of f ). | |