The function \( f(x) \) is defined in \( [0,1] \) then the domain o...

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The function \( f(x) \) is defined in \( [0,1] \) then the domain of definition of the function \( f\left[\ln \left(1-x^{2}\right)\right] \) is given by:
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(a) \( \mathrm{x} \in\{0\} \)
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(b) \( \mathrm{x} \in[-\sqrt{1+\mathrm{e}}-1] \cup[1+\sqrt{1+\mathrm{e}}] \)
(c) \( \mathrm{x} \in(-\infty, \infty) \)
(d) None of these
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