- #1

- 268

- 6

## Main Question or Discussion Point

Given that

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?

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?