a⊗b={b,a,a⩾ba<bf(x)=3−x⊗3xa\otimes b=\begin{cases} b, \\ a, \\ \end{cases}\begin{matrix} a\geqslant b \\ a < b \\ \end{matrix}f\left( x \right)={{3}^{-x}}\otimes {{3}^{x}} ___。

Newly defined operations

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