If \( \mathrm{f}(\mathrm{x})+2 f\left(\frac{1}{x}\right)=3 \mathrm{x}, \mathrm{x} \neq 0 \) and ....

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If \( \mathrm{f}(\mathrm{x})+2 f\left(\frac{1}{x}\right)=3 \mathrm{x}, \mathrm{x} \neq 0 \) and
\( \mathrm{P} \)
\( \mathrm{S}=\{\mathrm{x} \in \mathrm{R}: \mathrm{f}(\mathrm{x})=\mathrm{f}(-\mathrm{x})\} \), Then \( |\mathrm{S}|= \)


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