Finding formula for the inverse of a function

[hahaha158]

Homework Statement

f(x)=e^x^2
f^(-1)(x)=?


2. The attempt at a solution

i reversed x and y so i got x=e^y^2

ln both sides to get

lnx=y^2

so (ln(y))^(1/2)

what am i doing wrong?

 

[Simon Bridge]

I'll just tidy up your notation, tell me if I mess it up:

Homework Statement

$f(x)=e^{x^2}$
$f^{-1}(x)=?$2. The attempt at a solution

i reversed x and y so i got $x=e^{y^2}$

ln both sides to get

$\ln|x|=y^2$

so $[\ln|y|]^{1/2}$

what am i doing wrong?

well that last line does not follow from the one before it does it? You are trying to find y(x) remember.