Explanation Given: The function is f ( x ) = 3 x + 4 . Formula Used: The inverse of a function is found by following steps; Step 1: Replace f ( x ) with y . Step 2: Interchange x and y Step 3: Solve for y in terms of x Step 4: Replace y with f − 1 ( x ) Calculation: The function is f ( x ) = 3 x + 4 , for inverse replace f ( x ) with y . y = 3 x + 4 Interchange x and y , x = 3 y + 4 Solve for y in terms of x , x − 4 = 3 y y = x − 4 3 Replace the value of y with f − 1 ( x ) , f − 1 ( x ) = x − 4 3 The graph of given functions and its inverse are made by taking values of x and find the values of the functions, respectively. The values are depicted in the tables of the functions. Take the function f ( x ) = 3 x + 4 For x = − 2 ; f ( x ) = 3 x + 4 = 3 ( − 2 ) + 4 = − 2 For x = 0 ; f ( x ) = 3 x + 4 = 3 ( 0 ) + 4 = 4 For x = 2 ; f ( x ) = 3 x + 4 = 3 ( 2 ) + 4 = 10 The table is as follow, x − 2 0 2 f ( x ) </

8th Edition

ISBN: 9780134178967

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

Publisher: PEARSON

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Chapter 10.4, Problem 32E

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To calculate: The inverse of the function f(x)=3x+4 then graph the function and its inverse on one coordinate plane.

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Chapter 10.4, Problem 31E

Chapter 10.4, Problem 33E

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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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The inverse of the function f ( x ) = 3 x + 4 then graph the function and its inverse on one coordinate plane.

Solution Summary: The author explains how the inverse of a function is found by taking values of both x and y and graphing it on one coordinate plane.

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To calculate: The inverse of the function f(x)=3x+4 then graph the function and its inverse on one coordinate plane.

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Chapter 10 Solutions