The principle of inverse variation for 2 variables Xand Y is given by X Y = K and if X® 0 then Y®¥where K is the constant of variation. It can be shown that regardless of the values of K excepting of course when K= 0, the X domain is always between 0 and infinity and the Yrange is also between zero and infinity. That is to say if X® 0 then Y®¥and vice versa if Y® 0 then X®¥. On the other hand, restricting the domain and the range to lie between 1 and infinity is simply to transform X Y = K into the form X Y = X – Y where the constant of variation vanishes such that for X = 1 then Y = ½ and for X = 0 then Y = 0 and for X®¥ then Y® 1 and if Y®¥ then X ® 1.


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