Let \( f: R-\{3\} \rightarrow R-\{1\} \) be defined by \( f(x)=\frac{x-2}{x-3} \).Let \( g: R \rightarrow R \) be given …

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

[JEE Main 2021, 18 Mar (Shift 2)]