The 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)

                (Simplify)

The value of .

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

"y " value substitute in above function,

.

The inverse function of is  .