To find: Find the inverse function f-1.
The inverse function is f-1x=ex/2+1
To find the inverse function f-1, we first write the function as y=2ln(x-1)
Now, we solve this equation for x
Apply the exponential function on both sides
We interchange x and y:
Therefore, the inverse function is
Final statement: The inverse function is f-1x=ex/2+1