Let $f: R-\{3\} \rightarrow R-\{1\}$ be defined by $f(x)=\frac{x-2}{x-3}$. Let $g: R \rightarrow R$ be given as $g(x)=2 x$ -3 . Then the sum of all the values of $x$ for which $f^{-1}(x)+g^{-1}(x)=\frac{13}{2}$ is equal to
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