Explanation Given: The function f ( x ) = 2 x + 3 2 and the inverse is f − 1 ( x ) = 1 2 x − 3 4 Formula Used: The value of a function f ( x ) = x for value for x = a is; f ( a ) = a Proof: The function f ( x ) = 2 x + 3 2 and the inverse is f − 1 ( x ) = 1 2 x − 3 4 are as given. For f [ f − 1 ( x ) ] , the following is found f [ f − 1 ( x ) ] = 4 ( <

8th Edition

ISBN: 9780134178967

Author: John Tobey Jr., Jeffrey Slater, Jamie Blair, Jenny Crawford

Publisher: PEARSON

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Chapter 10.4, Problem 39E

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To prove: The value of f[f−1(x)]=x and f−1[f(x)]=x such that the function f(x)=2x+32 and the inverse is f−1(x)=12x−34.

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Chapter 10.4, Problem 38E

Chapter 10.4, Problem 40E

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Intermediate Algebra (8th Edition)

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To prove: The value of f [ f − 1 ( x ) ] = x and f − 1 [ f ( x ) ] = x such that the function f ( x ) = 2 x + 3 2 and the inverse is f − 1 ( x ) = 1 2 x − 3 4 .

Solution Summary: The author explains that the value of f(x)=2x+32 and the inverse are as given.

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To prove: The value of f[f−1(x)]=x and f−1[f(x)]=x such that the function f(x)=2x+32 and the inverse is f−1(x)=12x−34.

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Chapter 10 Solutions