Explanation The inverse of the function f ( x ) = 2 x 2 + 3 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 ) = 2 x 2 + 3 is drawn by substituting values of x , For x = − 2 , substitute − 2 for x , f ( − 2 ) = 2 ( − 2 ) 2 + 3 = 2 ( 4 ) + 3 = 8 + 3 = 11 For x = 0 , substitute 0 for x , f ( 0 ) = 2 ( 0 ) 2 + 3 = 2 ( 0 ) + 3

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 37E

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Whether the inverse of the function f(x)=2x2+3 can be found or not.

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Chapter 10.4, Problem 36E

Chapter 10.4, Problem 38E

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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 ) = 2 x 2 + 3 can be found or not.

Solution Summary: The author explains that the inverse of the function f(x)=2x+3 cannot be found as the given function is not one-to-one.

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Whether the inverse of the function f(x)=2x2+3 can be found or not.

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Chapter 10 Solutions