Hyperbolic Nature of the Michaelis-Menten Equation

A graph of Vo plotted against A is a section of a right rectangular hyperbola, with all mathematical properties of this geometric function (Comish-Bowden, 1976). The usual expiession for a rectangular hyperbola with x and y axes as asymptotes is 

The hyperbolas encountered in mathematics always have two limbs, whereas the plot of Vo against A appears to have only one. However, if we rearrange the Michaelis-Menten equation, we shall obtain 

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