Question

find a formula for the inverse of the function:

F(x)=e^x^3

I'm extremely confused on the this problem...

Answer 1

To find an inverse, all you need to do is switch the x's and y's, and then solve for y. So here, we're going to have
\[\begin{align}
y=e^{x^3}\\
x=e^{y^3}\\
\ln x = y^3\\
y=\sqrt[3]{\ln x}
\end{align}\] will be your inverse function.

Answer 2

Oh...I get it now. thanks so much!