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 \(…

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)]