# Calculus Problem, Finding the Inverse of a function

1. Apr 1, 2009

### Haiguise

1. The problem statement, all variables and given/known data

http://img17.imageshack.us/img17/4413/asasasasas.jpg [Broken]

2. Relevant equations
let t = e^x.

3. The attempt at a solution

f(x) = sqrt(ln(x))

f_inv(x) = exp(x^2)

is that it? Nothing more to it?

Last edited by a moderator: May 4, 2017
2. Apr 1, 2009

### Staff: Mentor

I don't see anything wrong with your work. You can check to see that f-1(f(x)) = f(f-1(x)) = x.

3. Apr 1, 2009

### HallsofIvy

Staff Emeritus
I wish you would NOT say "let $t= e^x$" and then write "f(x)= sqrt(ln(x))" when you mean "f(t)= sqrt(ln(t))"!