## Thomas' Calculus 13th Edition

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.