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

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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
(a) 7
(b) 2
(c) 5
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