Find the inverse of the following one to one functions and state the domain and range of the function and its inverse f(x) =3x

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.5: Inverse Functions
Problem 54E
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Find the inverse of the following one to one functions and state the domain and range of the function and its inverse

f(x) =3x

Expert Solution
Step 1

To describe the inverse of the given function explicitly and state its domain and range.

Step 2

The given function f(x)=3x is one -one.

Algebra homework question answer, Step 2, Image 1
Step 3

Thefucntion f has an inverse which is the reverse of the operation performed by f. As f is multiplication by 3, we expect f (inverse) to be division by 3 (as is shown here).

Algebra homework question answer, Step 3, Image 1
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