If the functions are defined as \( f(x)=\sqrt{x} \) and \( g(x)= \) \( \sqrt{1-x} \), then what ...

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If the functions are defined as \( f(x)=\sqrt{x} \) and \( g(x)= \) \( \sqrt{1-x} \), then what is the common domain of the following
\( \mathrm{P} \)
W functions:
\( f+g, f-g, f / g, g / f, g-f \) where \( (f \pm g)(x)=f(x) \pm g(x) \),
\( (f f g)(x)=\frac{f(x)}{g(x)} \)
[JEE Main-2021 (March)]
(a) \( 0 \leq x \leq 1 \)
(b) \( 0 \leq x1 \)
(c) \( 0x1 \)
(d) \( 0x \leq 1 \)
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