Functional equation

Algebra Level 5

A function \(f:\mathbb R\to \mathbb R\) satisfies

\[ \large\ f( x - f( y ) ) = f( f( y ) ) + xf( y ) + f( x ) -1\]

for all \(x, y \in \mathbb R\).

Find \(f( 2016 )\).

×

Problem Loading...

Note Loading...

Set Loading...