Explanation Formula Used: The value of a function f ( x ) = x for value for x = a is; f ( a ) = a Calculation: Consider following function f ( x ) = x − 3 5 and the inverse is f − 1 ( x ) = 5 x + 3 . To calculate the value of f [ f − 1 ( x ) ] </

8th Edition

ISBN: 9780134178967

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

Publisher: PEARSON

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 10.4, Problem 29E

To determine

To calculate: The value of f[f−1(x)] such that the function is f(x)=x−35 and its inverse function is f−1(x)=5x+3.

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Chapter 10.4, Problem 28E

Chapter 10.4, Problem 30E

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Chapter 10 Solutions

Intermediate Algebra (8th Edition)

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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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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The value of f [ f − 1 ( x ) ] such that the function is f ( x ) = x − 3 5 and its inverse function is f − 1 ( x ) = 5 x + 3 .

Solution Summary: The author explains the formula used to calculate the value of f(x) and its inverse function.

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To calculate: The value of f[f−1(x)] such that the function is f(x)=x−35 and its inverse function is f−1(x)=5x+3.

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Chapter 10 Solutions