The composition idea can also be used to find the inverse of a function. For example, to find the inverse of f (x) = 5x + 3, we could proceed as follows: f ( f-1(x)) = 5( f-1(x)) + 3 and f ( f-1(x)) = xTherefore, equating the two expressions for f ( f-1(x)), we obtain 5( f-1(x)) + 3 = x ; 5( f-1(x)) = x - 3 ; f-1(x) = (x - 3)/5. Use this approach to find the inverse of each of the following functions. f (x) = 2x + 1

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Functions
Section9.5: Inverse Functions
Problem 53PS
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The composition idea can also be used to find the inverse of a function. For example, to find the inverse of f (x) = 5x + 3, we could proceed as follows: f ( f-1(x)) = 5( f-1(x)) + 3 and f ( f-1(x)) = x
Therefore, equating the two expressions for f ( f-1(x)), we obtain 5( f-1(x)) + 3 = x ; 5( f-1(x)) = x - 3 ; f-1(x) = (x - 3)/5. Use this approach to find the inverse of each of the following functions. f (x) = 2x + 1

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