Question

The inverse function of f(x) = ex has a asymptote at

Answer 1

Answer:

x=0

Step-by-step explanation:

You are given the function $f(x)=e^x.$ To find it inverse function, express x in terms of y:

$y=e^x\\ \\\ln y=x$

Now change x into y and y into x:

$y=\ln x\\ \\f^{-1}(x)=\ln x$

The graph of the function $f^{-1}(x)$ has vertical asymptote x=0.

Answer 2

Vertical asymptote at x = 0