Functions are awesome! - Part 2

Algebra Level 3

Find the number of functions such that \(f:\mathbb{R}\rightarrow\mathbb{R}\) satisfying \[f(x^{2} + yf(z))=xf(x) + zf(y)\] for all \(x,y,z\in \mathbb{R}\).

×

Problem Loading...

Note Loading...

Set Loading...