Explanation Let f : X → Y be an invertible function. Also, suppose f two inverses g 1 and g 2 . Then, for all y ∈ Y , we have f ∘ g 1 ( y ) = y = f ∘ g 2 ( y ) ⇒ f ( g 1 ( y ) ) = f ( g 2 ( y )

Calculus

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.5, Problem 59PS

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To show:The inverse of a function is unique.

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Chapter 1.5, Problem 58PS

Chapter 1.5, Problem 60PS

Chapter 1 Solutions

Calculus

Ch. 1.1 - Prob. 1PS Ch. 1.1 - Prob. 2PS Ch. 1.1 - Prob. 3PS Ch. 1.1 - Prob. 4PS Ch. 1.1 - Prob. 5PS Ch. 1.1 - Prob. 6PS Ch. 1.1 - Prob. 7PS Ch. 1.1 - Prob. 8PS Ch. 1.1 - Prob. 9PS Ch. 1.1 - Prob. 10PS

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The inverse of a function is unique.

Solution Summary: The author explains that the inverse of a function is unique. Let f:Xto Y be an invertible function.

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Chapter 1 Solutions