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Let f be a function satisfying of xdot T...

Let `f` be a function satisfying of `xdot` Then `f(x y)=(f(x))/y` for all positive real numbers `x and ydot` 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`
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