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\(\large \color{black}{\begin{align} & f(x)\ f(y)=f(xy)\hspace{.33em}\\~\\ & \{x,y\}\in \mathbb{R} \hspace{.33em}\\~\\ & f(2)=4,f(\frac12)=? \end{align}}\)
\[\large f(2)~=~f(4*1/2) ~=~ f(4)*f(1/2)~=~f(2)*f(2)*f(1/2)\]
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