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6. ν•¨μˆ˜ \( f(x) = 2x^3 - 9x^2 + ax + 5 \) λŠ” \( x=1 \) μ—μ„œ κ·ΉλŒ€μ΄κ³ , \( x=b \) μ—μ„œ κ·Ήμ†Œμ΄λ‹€. \( a + b \)의 값은? (단, \(a\), \(b\)λŠ” μƒμˆ˜μ΄λ‹€.) [3점]

\begin{itemize}
    \item[1] 12
    \item[2] 14
    \item[3] 16
    \item[4] 18
    \item[5] 20
\end{itemize}