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### JEE Advanced 2016 Paper 1 Offline

MCQ (More than One Correct Answer)
Let $$f:R \to R,\,g:R \to R$$ and $$h:R \to R$$ be differentiable functions such that $$f\left( x \right)= {x^3} + 3x + 2,$$ $$g\left( {f\left( x \right)} \right) = x$$ and $$h\left( {g\left( {g\left( x \right)} \right)} \right) = x$$ for all $$x \in R$$. Then
A
$$g'\left( 2 \right) = {1 \over {15}}$$
B
$$h'\left( 1 \right) = 666$$
C
$$h\left( 0 \right) = 16$$
D
$$h\left( {g\left( 3 \right)} \right) = 36$$

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