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Question 47

Let $$f : R \rightarrow R, g : R \rightarrow R$$ and $$h : R \rightarrow R$$ be differentiable functions such that $$f(x) = x^3 + 3x + 2, g(f(x)) = x$$ and $$h(g(g(x))) = x$$ for all $$x \in R$$. Then

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