請教兩題
第一題 不等式\(\displaystyle {\rm{1 + }}\lg (3x^2 + x - 2) - \lg (x + 1) < |x - 2| \)
ANS:\(\displaystyle (\frac{2}{3},1) \cup (4,\infty ) \)
第二題
函數\(f\)定義在整數集上,且滿足
\(
\begin{array}{l}
\displaystyle f(n) = \left\{ \begin{array}{l}
\displaystyle n - 2,n \ge 2009 \\
\displaystyle f[f(n + 3)],n < 2009 \\
\end{array} \right. \\
\end{array}
\)
則\(\displaystyle f(9)=?\)
ANS:2007