Consider the following two statements:\\
(I) There exists a differentiable function $g : \mathbb{R} \rightarrow \mathbb{R}$ such that $g\left(x^3 + x^5\right) = e^x - 100$.\\
(II) There exists a continuous function $g : \mathbb{R} \rightarrow \mathbb{R}$ such that $g\left(e^x\right) = x^3 + x^5$.\\
Then\\
(A) Only (I) is correct.\\
(B) Only (II) is correct.\\
(C) Both (I) and (II) are correct.\\
(D) Neither (I) nor (II) is correct.