The function \( f(x)=\log _{e}\left(x^{3}+\sqrt{x^{6}+1}\right) \) is of the following types: (a...

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The function \( f(x)=\log _{e}\left(x^{3}+\sqrt{x^{6}+1}\right) \) is of the following types:
(a) even and increasing
(b) odd and increasing
(c) even and decreasing
(d) odd and decreasing
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