A simple functional equation
Algebra
Level
4
Let \( f(x) \) be a function that satisfies
\[f(2014 + x) = f(2014 - x) .\]
If \( f \) has exactly \( 3 \) roots being \( \alpha, \beta, \gamma \), what is the value of \( \alpha + \beta + \gamma ?\)
by
Anqi Li