Given the graph of the inverse function below, which of the following is the graph of the original function?

The graph of original function is shown below.

Step-by-step explanation:

The graph of the inverse function is given.

From the given graph it is clear that the graph of inverse function is in an exponential function that passes through the points (0,1) and (1,3).

Let the inverse function be

Put x=0 and y=1 in the above equation.

Put a=1, x=1 and y=3 in the above equation.

So the inverse function is

Interchange x and y.

Taking log both the sides.

Divide both the sides by log3.

The original function is

The graph of original function is the mirror image of inverse function across the line y=x.

Therefore the graph of original function is shown below.