Let \( \mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} \) be such that for all \( \mathrm{x} \in \mathrm{R}\left(2^{1+\mat…

Let \( \mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} \) be such that for all \( \mathrm{x} \in \mathrm{R}\left(2^{1+\mathrm{x}}+2^{1-\mathrm{x}}\right), \mathrm{f}(\mathrm{x}) \) and \( \left(3^{x}+3^{-x}\right) \) are in A.P., then the minimum value of \( f(x) \) is

[JEE Main 2020, 8 Jan (Shift 2)]