Question

What is the inverse for this problem?

Answer 1

Replace f(x) with y:

y = 3x +2 

interchange the variables:

x = 3y +2
 
switch the equation so the Y is on the left side:
3y +2 = x

subtract 2 from each side:
3y = x-2

divide each term by 3 to get y alone:

y = (x-2)/3

replace y with inverse of F(x) which is f^-1(x):

f^-1(x) = -(x-2)/3