There is a simple method for finding the inverse of a simple function like this, using the idea that an inverse function "un-does" what the function does.
The given function does the following to the input:
.. multiply by 2; and
.. subtract 3
The inverse function, to undo that the function does, must perform the opposite operations in the opposite order:
.. add 3; and
.. divide by 2
ANSWER: f^(-1)(x) = (x+3)/2
(2) By the definition of an inverse function, f(f^(-1)(x))=x