Functions 07

Algebra Level 5

Let f:R+Rf: \mathbb R^+ \to \mathbb R be a decreasing function. If f(2a2+a+1)<f(3a24a+1)f(2a^2 + a + 1) < f(3a^2 - 4a + 1) , then find the number of posssible integral values of aa.

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