If f(x)= ( x) , then f(x) f(y)- 1 2 (f ( x y )+f(x y) ) has the value

Step-by-step solution

aligned & f(x)= ( x) & Now, f(x) f(y)- 1 2 (f ( x y )+f(x y) ) & = ( x) ( y)- 1 2 ( ( x y )+ (x y) ) & = ( x) ( y)- 1 2 ( x- y)+ ( x+ y) & = ( x) ( y)- 1 2 2 ( x) ( y) & =0 aligned