Explanation Given: The function is h ( x ) = 1 2 x − 2 . 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 h ( x ) = 1 2 x − 2 , for inverse replace h ( x ) with y . y = 1 2 x − 2 Interchange x and y , x = 1 2 y − 2 Solve for y in terms of x , x + 2 = 1 2 y y = 2 ( x + 2 ) = 2 x + 4 Replace the value of y with f − 1 ( x ) , h − 1 ( x ) = 2 x + 4 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 h ( x ) = 1 2 x − 2 . For x = − 2 ; h ( x ) = 1 2 x − 2 = 1 2 ( − 2 ) − 2 = − 1 − 2 = − 3 For x = 0 ; h ( x ) = 1 2 x − 2 = 1 2 ( 0 ) − 2 = 0 − 2 = − 2 For x = 2 ; h ( x ) = 1 2 x − 2 =

8th Edition

ISBN: 9780134178967

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

Publisher: PEARSON

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Chapter 10.4, Problem 33E

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To calculate: The inverse of the function h(x)=12x−2 then graph the function and its inverse on one coordinate plane.

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Chapter 10.4, Problem 32E

Chapter 10.4, Problem 34E

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Chapter 10 Solutions

Intermediate Algebra (8th Edition)

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The inverse of the function h ( x ) = 1 2 x − 2 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 them on one coordinate plane.

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To calculate: The inverse of the function h(x)=12x−2 then graph the function and its inverse on one coordinate plane.

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Chapter 10 Solutions