Question 69
Let $f(x)=\frac{9^{x}}{9^{x}+3}$.
a) Find the value of $f(x)+f(1-x)$.
b) Calculate the sum
$$
f\left(\frac{1}{2020}\right)+f\left(\frac{2}{2020}\right)+f\left(\frac{3}{2020}\right)+\ldots+f\left(\frac{2019}{2020}\right)
$$
a) Find the value of $f(x)+f(1-x)$.
b) Calculate the sum
$$
f\left(\frac{1}{2020}\right)+f\left(\frac{2}{2020}\right)+f\left(\frac{3}{2020}\right)+\ldots+f\left(\frac{2019}{2020}\right)
$$