Explanation Given information: A function F: X → Y is one-to-one but notonto. Calculation: f : x → y is a one-to-one function. It’s not true that f − 1 : y → x is a function. For example, x = { 1 , 2 } , y = { 1 , 2 , 3 } To determine (b) Whether F -1 (the inverse relation for F ) is a function or not if F is not one to one.

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ISBN: 9781337694193

Author: EPP, Susanna S.

Publisher: Cengage Learning,

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Chapter 8.1, Problem 12ES

To determine

(a)

Whether F -1 (the inverse relation for F ) is a function or not if F is not onto.

To determine

(b)

Whether F -1 (the inverse relation for F ) is a function or not if F is not one to one.

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Chapter 8.1, Problem 11ES

Chapter 8.1, Problem 13ES

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Discrete Mathematics With Applications

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(a) Whether F -1 (the inverse relation for F ) is a function or not if F is not onto.

Solution Summary: The author explains whether F -1 (the inverse relation for F) is a function or not if F is not onto.