Find the inverse Function?
J(x)=2^x/(1+2^x)
switch variables and solve for y:
x = 2^y/(1+2^y)
x + x*2^y = 2^y
x = 2^y(1-x)
2^y = x/(1-x)
J-1 = y = log2 x/(1-x)
J(x)=2^x/(1+2^x)
x = 2^y/(1+2^y)
x + x*2^y = 2^y
x = 2^y(1-x)
2^y = x/(1-x)
J-1 = y = log2 x/(1-x)