Question 16

Let $$f:\mathbb{R}\rightarrow\mathbb{R}$$ be a function satisfying the relation $$4f(3-x)+3f(x)=x^{2}$$ for any real $$x$$. Find the value of $$f(27)-f(25)$$ to the nearest integer. (Here $$\mathbb{R}$$ denotes the set of real numbers.)


Correct Answer: 08

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