Find the inverse of the function. f (x) = 3x - 2

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

Step-by-step explanation:

To find the inverse of a function, exchange x and y and solve for y

y = 3x-2

Exchange x and y

x = 3y-2

Solve for y

Add 2 to each side

x+2=3y-2+2

x+2 = 3y

Divide each side by 3

(x+2) / 3 = y

The inverse of the function is

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