Let `f`be a function satisfying of `xdot`Then `f(x y)=(f(x))/y`for all positive real numbers `xa n dydot`If `f(30)=20 ,`then find the value of `f(40)dot`

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Given `f(xy)=(f(x))/(y)`

or `f(y)=(f(1))/(y) ” “(“Putting ” x=1) `

or `f(30)=(f(1))/(30)`

or `f(1)=30 xx f(30)=30xx20=600`

` :. f(40)=(f(1))/(40)`

`=(600)/(40)=15`