Explanation Given: The function is f ( x ) = − 3 4 x + 1 . Calculation: Consider the following function: f ( x ) = − 3 4 x + 1 Substitute y for f ( x ) . y = − 3 4 x + 1 Interchange the values of x and y . x = − 3 4 y + 1 Solve for y , x = − 3 4 y + 1 4 x = − 3 y + 4 − 4 x + 4 3 = y Substitute f − 1 ( x ) for y . f − 1 ( x ) = − 4 x + 4 3 Graph: Consider the function, f ( x ) = − 3 4 x + 1 For x = − 4 , Substitute − 4 for x . f ( − 4 ) = − 3 4 ( − 4 ) + 1 = 3 + 1 = 4 For x = − 2 , Substitute − 2 for x . f ( − 2 ) = − 3 4 ( − 2 ) + 1 = 1.5 + 1 = 2.5 For x = 0 , Substitute 0 for x . f ( 0 ) = − 3 4 ( 0 ) + 1 = 0 + 1 = 1 For x = 2 , Substitute 2 for x . f ( 2 ) = − 3 4 ( 2 ) + 1 = − 1.5 + 1 = − 0.5 For x = 4 , Substitute 4 for x . f ( 4 ) = − 3 4 ( 4 ) + 1 = − 3 + 1 = − 2 Construct a table, using various values of x , for the function f ( x ) = − 3 4 x + 1 . x f ( x ) = − 3 4 x + 1 − 4 4 − 2 2.5 0 1 2 − 0

8th Edition

ISBN: 9780134178967

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

Publisher: PEARSON

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Chapter 10, Problem 48RP

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To graph: The inverse function of the function f(x)=−34x+1 on one coordinate plane.

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Chapter 10, Problem 47RP

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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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To graph: The inverse function of the function f ( x ) = − 3 4 x + 1 on one coordinate plane.

Solution Summary: The author explains the inverse function of the function f(x)=-34x+1 on one coordinate plane.

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To graph: The inverse function of the function f(x)=−34x+1 on one coordinate plane.

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Chapter 10 Solutions