Trying to find a function for graph

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graph

Hello, I am trying to write an equation for this graph but I cannot. I have drawn the graph myself so it may not be a good one, sorry for that.

Until now I have tried to find a link between this graph and exponential graph but I could not. Do you have any idea to help me?

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HINT

Try a function of the fom $a+\frac{b}{x}.$