Question 24
Let $f(x)$ be a rational function (a quotient of two polynomials) such that
$$f(x)+f\left(\frac{x-1}{x}\right)=1+x$$
for every real $x$ other than 0 and 1. Find $f(10)+1/180$.
$$f(x)+f\left(\frac{x-1}{x}\right)=1+x$$
for every real $x$ other than 0 and 1. Find $f(10)+1/180$.