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 functions: \( f+g,\, f-g,\, \frac{f}{g},\, \frac{g}{f} , g-f\) where \( (f \pm g)(x)=f(x)\pm g(x) \), \( (f/g)(x)=\frac{f(x)}{g(x)} \)
