Let f and g be differentiable functions ...

Let `f` and `g` be differentiable functions such that: `xg(f(x))f\'(g(x))g\'(x)=f(g(x))g\'(f(x))f\'(x) AA x in R` Also, `f(x)gt0` and `g(x)gt0 AA x in R``int_0^xf(g(t))dt=1-e^(-2x)/2, AA x in R` and `g(f(0))=1, h(x)=g(f(x))/f(g(x)) AA x in R`Now answer the question:`f(g(0))+g(f(0))=` (A) `1` (B) `2` (C) `3` (D) `4`

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