Answer
See figures and steps below.
Work Step by Step
Functions: $ f(x)=-\sqrt x $ and $ g(x)=\sqrt {1-x}$
(a) $ f+g=\sqrt {1-x}-\sqrt x $
(b) $ f\cdot g=-\sqrt {x(1-x)}$
(c) $ f-g=-\sqrt x-\sqrt {1-x}$ and $ g-f=\sqrt {1-x}+\sqrt {x}$
(d) $\frac{f}{g}=-\sqrt {\frac{x}{1-x}}$ and $\frac{g}{f}=-\sqrt {\frac{1-x}{x}}$
The above functions are shown in the figures.
