Question

How do you find the inverse of `g(x) =log ((x)/(1-x))`?

Answer 1

Assuming that the log is natural ln,
`x=(1+tanh (y/2))/2`, with y - g (x).

Explanation:

As this a question in Precalculus, I understand log as ln.
Let y = g(x),
`e^y=(x/(1-x))`.
`(e^y=1)/(e^y+1)= (2x-1)`.
`tanh (y/2)=2x-1`.
Answer follows.