Question

What is the relationship between the two functions ( \small y=e^x and \small y= ln \small x) graphed below?

Answer 1

y = e^x is the inverse of y = lnx

We know that the range of the inverse of a function is the domain of the original function. Looking at the graph, the domain of the y = e^x is (- infinity, infinity). We can see that the range of y = lnx is (- infinity, infinity). Thus, the answer is

y = e^x is the inverse of y = lnx