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**Unformatted text preview: **of f ; f has a left inverse f is one-to-one. For example, let X = 1, 2 { } , Y = 10, 20, 30 { } , f = 1,10 ( ) , 2, 20 ( ) { } , and g = 10, 1 ( ) , 20, 2 ( ) , 30, 2 ( ) { } . Then, g is a left inverse of f . If h is a function such that f h = I Y , then h is a right inverse of f ; f has a right inverse f is onto. For example, let X = 1, 2, 3 { } , Y = 10, 20 { } , f = 1, 10 ( ) , 2, 20 ( ) , 3, 20 ( ) { } , and h = 10,1 ( ) , 20, 2 ( ) { } . Then, h is a right inverse of f , although h is not a left inverse of f . If f is one-to-one and onto, then f has a unique inverse function that serves as both a unique left inverse and a unique right inverse....

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