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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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Answer» 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` |
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