Explanation The inverse of the function f ( x ) = | 3 x + 4 | cannot be found as the given function is not one-to-one. For a one-to-one function for every value of x there is only one value of y . Which makes every value of the range and domain, unique. Thus a one-to-one function is a function in which no ordered pairs are having the same second coordinate. The graph of the function, f ( x ) = | 3 x + 4 | is drawn by substituting values of x , For x = − 2 , substitute − 2 for x , f ( − 2 ) = | 3 ( − 2 ) + 4 | = | − 6 + 4 | = | − 2 | = 2 For x = 0 , substitute 0 for x , f ( 0 ) = | 3 ( 0 ) + 4 | = | 0 + 4 | = |

Intermediate Algebra Books a la Carte Edition PLUS MyLab Math (8th Edition)

8th Edition

ISBN: 9780134578507

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

Publisher: PEARSON

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Chapter 10.4, Problem 38E

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Whether the inverse of the function f(x)=|3x+4| can be found or not.

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Chapter 10.4, Problem 37E

Chapter 10.4, Problem 39E

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Intermediate Algebra Books a la Carte Edition PLUS MyLab Math (8th Edition)

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Whether the inverse of the function f ( x ) = | 3 x + 4 | can be found or not.

Solution Summary: The author explains that the inverse of the function f(x)= left|3x+4 right| cannot be found as the given function is not one-to-one.

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Whether the inverse of the function f(x)=|3x+4| can be found or not.

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Chapter 10 Solutions