$\begin{array}{l}\text{ Let }\mathrm{f}:\mathrm{R}\to \mathrm{R}\text{ be such that for all }\mathrm{x}\in \mathrm{R}, \left(2^{1+\mathrm{x}}+2^{1-\mathrm{x}}\right), \mathrm{f}\left(\mathrm{x}\right)\text{ and }\left(3^{\mathrm{x}}+3^{-\mathrm{x}}\right)\text{ are in A.P. Then the }\\ \text{ minimum value of }\mathrm{f}\left(\mathrm{x}\right)\text{ is: }\end{array}$

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