Explanation Given information: g ( x ) = x x − 1 Formula used: Domain is the input value for the given function. Calculation: Consider the function g ( x ) = x x − 1 . To show that g ( x ) = g − 1 ( x ) , consider g ( g ( x ) ) . g ( g ( x ) ) = ( x x − 1 ) ( x x − 1 ) − 1 = ( x x − 1 )

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

4th Edition

ISBN: 9781319312886

Author: Rogawski, Jon, Adams, Colin, FRANZOSA, Robert

Publisher: W. H. Freeman

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Chapter 1, Problem 62CRE

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Show that g(x)=xx−1 is equal to its inverse on the domain [x:x≠1].

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Chapter 1, Problem 61CRE

Chapter 1, Problem 63CRE

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Chapter 1 Solutions

Loose-Leaf Version for Calculus: Early Transcendentals Single Variable

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Show that g ( x ) = x x − 1 is equal to its inverse on the domain [ x : x ≠ 1 ] .

Solution Summary: The author explains that g(x)=xx-1 is equal to its inverse on the domain.

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Show that g(x)=xx−1 is equal to its inverse on the domain [x:x≠1].

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Chapter 1 Solutions