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参考答案:∵\(-\pi <-1\),\(∴f(-π)=-π+2\).
∵\( -1<\frac{3}{2}<2\),\(\therefore f\left ( {\frac {3} {2}} \right )=\left ( {\frac {3} {2}} \right )^{2}=\frac {9} {4}>2\).
\(\therefore f\left ( {f\left ( {\frac {3} {2}} \right )} \right )=f\left ( {\frac {9} {4}} \right )=2\times \frac {9} {4}=\frac {9} {2}\).