The functions $$\(\mathrm{f}\)$$ and $$\(\mathrm{g}\)$$ are defined by $$\[ \begin{aligned} & \mathrm{f}(x)=x^{2}-4 x+3 \text { for } x> c, \text { where } c \text { is a constant, } \\ & \mathrm{g}(x)=\frac{1}{x+1} \text { for } x> -1 \end{aligned} \]$$ It is given that $$\(\mathrm{f}\)$$ is a one-one function. State the smallest possible value of $$\(c\)$$. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... ....................................................................................................................................................

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