Inverse Function Question

Determine the expression of f^-1(x) for f(x)=e^x

First, find the inverse of f,

Now take the natural logarithm on both sides,

Second, find the inverse of g,

Now take their composition,

Let , now again find the inverse,

exponentiate both sides to base e,

Hope this helps :)

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.