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Let f be a real-valued function such tha...

Let `f` be a real-valued function such that `f(x)+2f((2002)/x)=3xdot` Then find `f(x)dot`

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`f(x) +2f((2002)/(x))=3x`
Replacing x by `(2002)/(x)`, we get
`f((2002)/(x))+2f(x)=(6006)/(x)`
Solving (1) and (2), for `f(x)`, we get
`f(x) =(4004)/(x)-x`
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