How do you determine whether the function #f(x)=3x+5# has an inverse and if it does, how do you find the inverse function?

1 Answer
Monzur R.
Feb 22, 2017

First, we have to determine if #f# is a one-to-one or many-to-one. Only one-to-one functions have inverse functions, while many-to-one functions have inverse mappings.

In order to find the inverse of #f(x)#, we must find #f(y)# and then apply this transformation: #y=x#.

Let #y=f(x)#

#y=3x+5#

#3x=y-5#

#x=f(y)=1/3(y-5)#

#f^-1(x)=y=1/3(x-5)#

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