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If f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R...

If `f(x^2-6x+6)+f(x^2-4x+4)=2x ,AA x in R` then `f(-3) + f(9) -5f(1)= ?` (A) 7 (B) 8 (C) 9 (D) 10

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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