Question

What is the inverse of the function below? F(x) = 5x - 2

Answer 1

The inverse would be 

f^-1(x) = x/5 - 2/5  

Answer 2

1.  replace F(x) by y:      y = 5x - 2
2.  interchange x and y:  x = 5y - 2
3.  solve for y:  5y = x + 2, so y = (x + 2)/5
4.  replace y with 
        -1             -1          x +  2
     F    (x):      F   (x) = ---------    (answer)
                                         5