Determine whether the function has an inverse function. 4х + 3 f(x) : Зх + 7 Yes, f does have an inverse. No, f does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) f-1(x) =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.8: one-to-one Functions And Their Inverses
Problem 2E: (a) For a Function to have an inverse, it must be______ So which one of the following functions has...
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Determine whether the function has an inverse function.
f(x) :
4х + 3
Зх + 7
Yes, f does have an inverse.
No, f does not have an inverse.
If it does, then find the inverse function. (If an answer does not exist, enter DNE.)
f-1(x) =
Transcribed Image Text:Determine whether the function has an inverse function. f(x) : 4х + 3 Зх + 7 Yes, f does have an inverse. No, f does not have an inverse. If it does, then find the inverse function. (If an answer does not exist, enter DNE.) f-1(x) =
Expert Solution
Step 1

a)

From the given problem:

 

fx=4x+33x+7

 

There are no values of x where the function is undefined. Therefore f does have an inverse.

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