Inverse Function:
So we know
and we wish to find for the function
You know that
Now we need to find
Recall that the inverse function is a function that takes an output value back to its preimage (or input value). So saying we want to find is saying that we want to find an such that
Now I don't really know any shortcuts here, it's just something you have to figure out by working backwards in your head. usually they give you functions where it is easy to tell what gives you the desired value. Here it is obviously 0, since . Therefore since
So now, finally, we plug it into our formula:
..............
..............
..............
Jhevon you are the freaking MAN!! A true Jedi Master!!
OK so let me get this straight...
1) Take the derivative of the function
2) Set the function = to that "a" value and solve for X
3) 1/derivative and place the "X" value from step 2 where x is in the (f^-1)'(a) formula?
Is this correct?
Thanks Buddy!
-qbkr21