12th Class
Mathematics
Sample Paper
Maths Olympiad Model Paper-6
question_answer
A real valued function f(x) satisfies the functional equation \[f\,\,\left( x-y \right)=f\,(x)\,\,f(y)-f\,\,(a-x)\,\,f\,\,(a+y)\]where a is a given constant and f (0) = 1. Then \[f(2a-x)\] is equal to