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The function \(f : \mathbb{R} \to \mathbb{R}\) satisfies \(f(x) + 2f(1 - x) = 3x^2 \)  for all \(x \). Find \(f(4)\).

 Nov 22, 2019
edited by Guest  Nov 22, 2019
 #2
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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. 

 Nov 22, 2019

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