How can I solve a problem I don't have any idea what to do with it like this?

Question

if $$f(x)=\frac{4^{x}}{4^{x}+2}$$ , then $$f(\frac{1}{11})+f(\frac{2}{11})+f(\frac{3}{11})+\cdots+f(\frac{10}{11})=?$$ By the way, I haven't taken calculus yet.

Answer 1

We have that

$$f(x)=\frac{4^{x}}{4^{x}+2}=1-\frac{2}{4^{x}+2}=1-f(1-x)\implies f(x)+f(1-x)=1$$