$$x(y) = m\sigma(ny)$$
where $m$ and $n$ are constants and $\sigma(ny)$ the sigmoid function. How can we right the equation for $y(x)$?
$$y(x) = ?$$
The term 'sigmoid function' can refer to a variety of functions but I suspect you are referring to . An obvious first step is to multiply both sides by to get and then which we can then write as . Divide both sides by x- 1 to get .
Now take the natural logarithm of both sides: .
Finally, . Of course, that is a real number only for x< m.