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Let f: R->R and g: R->R be two non-const...

Let `f: R->R` and `g: R->R` be two non-constant differentiable functions. If `f^(prime)(x)=(e^((f(x)-g(x))))g^(prime)(x)` for all `x in R` , and `f(1)=g(2)=1` , then which of the following statement(s) is (are) TRUE? `f(2)<1-(log)_e2` (b) `f(2)>1-(log)_e2` (c) `g(1)>1-(log)_e2` (d) `g(1)<1-(log)_e2`

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