Calculus Problem, Finding the Inverse of a function

[Haiguise]

Homework Statement

http://img17.imageshack.us/img17/4413/asasasasas.jpg

Homework Equations

let t = e^x.

The Attempt at a Solution

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

f_inv(x) = exp(x^2)


is that it? Nothing more to it?

 

[Mark44]

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

 

[HallsofIvy]

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))"!