# Let f(x) = and g(x) = $\sqrt x$ be two functions defined over the set of non-negative real numbers. Find (f + g) (x), (f – g) (x), (fg) (x) and $\bigg( \large\frac{f}{g} \bigg) (x)$.

We have (f + g) (x) = $\sqrt x + x, (f-g) (x) = \sqrt x - x$
$(fg)x= \sqrt x (x)=x^{\large\frac{3}{2}}$ and $\bigg( \large\frac{f}{g} \bigg) (x) = \large\frac{\sqrt x }{x} = x ^{-\large\frac{1}{2}}, x \neq 0$