Two differentiable functions \(f\) and \(g\) have the following values:
\[f(1)=-1, \ f'(1)=2, \ g(1)=1, \ g'(1)=3.\]
What is the value of the following expression: \[\lim_{x\rightarrow 1}\frac{f(g(x))+1}{x-1}?\]

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