An algebra problem by Priyanshu Mishra

Algebra Level 5

Let \(f: \mathbb R \rightarrow \mathbb R\) for all reals \(x, y\) such that

\[ f( x+y ) + f( x )f( y ) = f( x ) + f( y ) + f( xy ) .\]

If only one non-constant function exists satisfying above relation,

find \(f(2017) \).

\(\)
Notation: \(\mathbb R \) denotes the set of real numbers.

×

Problem Loading...

Note Loading...

Set Loading...