Find the domain of f(x).
Then find the inverse of the function, and the domain of the inverse.
I know how to find the domain and inverse, but I just have no idea how to do it in this function.
For domain, I'm guess 3 - e^2x > or = 0
-e^2x > or = -3
e^2x < or = 3
2x < or = ln3
x < or = ln3 / 2
Is that right? Something just doesn't feel right.
EDIT: K, nvm. That first part was right.
But I didn't get the inverse right.
x^2 - 3 = -e^2y
ln(x^2 - 3) = -2y
-ln(x^2 - 3) / 2 = y