The function \(f : \mathbb{R} \to \mathbb{R}\) satisfies \(f(x) + 2f(1 - x) = 3x^2 \) for all \(x \). Find \(f(4)\).
Hints:
\(f(4)+2f( a )= 3x^2\\ find \;\;a\\ then\\ f(a)+2f(b)=3x^2\\ find\;\;b\\ \)
Now you can solve for f(4) using simultaneous equations.
Please no one provide a full answer.
