Question:
what can be recommended for calculating $f(x)$ that solves $\frac{f(x)}{f(x)+f(1-x)}\approx g(x)$ for $x\in[0,1]$?

I have tried comparing Taylor series, but they look intimidating and I would appreciate suggestions better solutions

Question:
what can be recommended for calculating $f(x)$ that solves $\frac{f(x)}{f(x)+f(1-x)}\approx g(x)$ for $x\in[0,1]$?

I have tried comparing Taylor series, but they look intimidating and I would appreciate suggestions for better solutions