Given function is .

Replace with y.

Next Switch x for y and y  for x.

.

Next solve for y :

           (Multiply each side by 3)

      (Apply distributive property: )

             (Cancel common terms)

                             (Multiply: )

         (Subtract 3 from each side)

               (Apply additive inverse property: )

                     (Apply additive identity property: )

                 (Divide each side by negative 2) \ \

                  (Cancel common terms)

           (Apply distributive property: )

                 (Product of two same signs is positive)

                           (Product of two different signs is negative)

                      \ \

 The value of .

Write in function notation,using to represent the invrse of the function f.

"Y " value substitute in above function,

.

The invrse of the function is  .