Explanation Given: The function f ( x ) = − 3 x − 10 and the inverse is f − 1 ( x ) = − x − 10 3 . Formula Used: The value of a function f ( x ) = x for the value for x = a is; f ( a ) = a Proof: The function f ( x ) = − 3 x − 10 and the inverse is f − 1 ( x ) = − x − 10 3 are as given. For f [ f − 1 ( x ) ] , f [ f − 1 ( x ) ] = − 3 (

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ISBN: 9780135909942

Author: TOBEY/SLATER

Publisher: PEARSON

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Chapter 10.4, Problem 40E

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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)=−3x−10 and the inverse is f−1(x)=−x−103.

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Chapter 10.4, Problem 39E

Chapter 10.4, Problem 41E

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Chapter 10 Solutions

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Concept Check Explain how you can use a...Ch. 10.3 - Prob. 1E Ch. 10.3 - Prob. 2E Ch. 10.3 - Prob. 3E Ch. 10.3 - Prob. 4E Ch. 10.3 - Prob. 5E Ch. 10.3 - Prob. 6E Ch. 10.3 - Prob. 7E Ch. 10.3 - Prob. 8E Ch. 10.3 - Prob. 9E Ch. 10.3 - For the following functions, find (a) ( f + g ) (...Ch. 10.3 - Prob. 11E Ch. 10.3 - Prob. 12E Ch. 10.3 - Prob. 13E Ch. 10.3 - Prob. 14E Ch. 10.3 - For the following functions, find (a) and (b)...Ch. 10.3 - Prob. 16E Ch. 10.3 - Prob. 17E Ch. 10.3 - Prob. 18E Ch. 10.3 - Prob. 19E Ch. 10.3 - Prob. 20E Ch. 10.3 - Prob. 21E Ch. 10.3 - Prob. 22E Ch. 10.3 - Prob. 23E Ch. 10.3 - Let , and . Find the following: 24. 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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 ) = − 3 x − 10 and the inverse is f − 1 ( x ) = − x − 10 3 .

Solution Summary: The author explains that the function f(x)=-3x-10 and the inverse is

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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)=−3x−10 and the inverse is f−1(x)=−x−103.

Want to see the full answer?

Chapter 10 Solutions