+1632 If \(f\) is a function satisfying \(f(x)+xf(1-x)=1+x^2\) for all real \(x\), then \(f(6)\) may be written in the form \(-{p\over q}\) for relatively prime positive integers \(p\) and \(q\). Find \(p + q\).
Any help is much appreciated --- thanks all!
