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Let f(x) f(x) f(x) be a function that satisfies
f(2014+x)=f(2014−x).f(2014 + x) = f(2014 - x) .f(2014+x)=f(2014−x).
If f f f has exactly 3 3 3 roots being α,β,γ \alpha, \beta, \gamma α,β,γ, what is the value of α+β+γ? \alpha + \beta + \gamma ?α+β+γ?
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