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 (

Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

8th Edition

ISBN: 9780137553464

Author: John Tobey, Jeffrey 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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Pearson eText for Intermediate Algebra -- Instant Access (Pearson+)

Ch. 10.1 - For the function f ( x ) = 3 x − 5 , find the...Ch. 10.1 - For the function , find the following. 2. Ch. 10.1 - Prob. 3E Ch. 10.1 - Prob. 4E Ch. 10.1 - Prob. 5E Ch. 10.1 - Prob. 6E Ch. 10.1 - For the function , find the following. 7. Ch. 10.1 - Prob. 8E Ch. 10.1 - Prob. 9E Ch. 10.1 - Prob. 10E

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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.

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Chapter 10 Solutions