For all x in the given ranges, polynomials f, g, and h satisfy the following equations:
f(x) + g(x) = 4x, x ≤ 2;
f(x) + g(x) = 2x², 2 < x ≤ 0;
f(x) + g(x) = h(x), x > 0;
What is the least possible value of f(10)?
(In reply to
re: numerical answer, without explanation by Richard)
The problem states directly that f, g and h are polinomials. It says "..., polinomials f, g, and h satisfy...". In particular, it does not state that they are polinomials in this or that particular region.
I still don't understand the need for the last equation, since as people have said, the first two equations determine f(x) up to an overall sign.

Posted by ajosin
on 20050511 16:06:29 