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1/ f(cx) = k - g(x) and

2/ the above is an identity,

where f(.) and g(.) are two functions

and c, k are real valued constants.

The problem is to infer upon the types of f(.) and g(.).

I have a hunch that f(.) and g(.) are logarithimic functions. Can any one provide any analytical proof or counter example?

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# Thoughts on an identity.

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