Many students know how to find the inverse of a regular function. We simply let then proceed to make
the subject. Some might not know that if you want to find the inverse of the composite function, knowing that
will be useful. Do note the switch in position of the functions.
At times, it might be really impossible to make out the inverse of by doing the regular
and then proceeding to make
the subject. Thus, this formula will come in handy.
The following is a simple proof. Assuming all the following composite functions exists.
Let
Then
We have that
Considering