Question: what is the inverse function of f(x)=e^x?
Answer: The inverse function for function f(x) = e^x is f^-1 (x) = ln x. The inverse function, f^-1(x), is the function that tells us to what power we have to raise the number e in order to get a given number x, i.e., f^-1(x) = ln x. In other words, f^-1(x) = ln x is an exponent of e, whereas, f(x) = e^x is a power of e.