Answer:
See explanation!
Step-by-step explanation:
Let us first give some principle theory to aid our solution.
Considering two functions
and
, in order to show that function
which is the inverse of
.
Now let as solve our problem. We are given the following:

Method A: Show that these are inverse functions by finding f^-1 (x) and showing that it is the same as g(x).
Let us take
and "exchanging" our variables we have

which is exactly the same with our given function of
, so proved!
Method B: Show that these are inverse functions by showing that when the output of one function is used for the input of the other function, the final output is equal to the original input value. (you may choose any initial input)
For this case we will use a simple input let us say
. Thus taking the
function and plugging in we have:

Now let us take the output of
which is
and use it the input to our second function of
, so we have:

so the output of the second function is equal to the original input value of the first function, hence proved!
Method C: Verify that these are the inverse function by showing that f(g(x)) = x AND g(f(x)) = x.
Basically we are asked to prove that both 
To do so, we just replace one function into the
value of the other function as follow:

Lets repeat now for the opposite as follow:

Hence proved!