For this case we have the following function:
[tex]f (x) = 3x + 5
[/tex]
Rewriting the function we have:
[tex]y = 3x + 5
[/tex]
From here, we must clear the value of x.
We have then:
[tex]3x = y - 5
x = (y-5) / (3)[/tex]
We make the corresponding variable changes:
[tex]f (x)^{- 1} = (x-5) / (3)[/tex]
Answer:
The inverse of the function f (x) is given by:
[tex]f (x)^{- 1} = (x-5) / (3)[/tex]
