Chapter 2, Functions - Section 2.7 - Combining Functions - 2.7 Exercises - Page 252: 8

$(f+g)(x)=x+\sqrt x \rightarrow$ $D=[0,+\infty)$ $(f-g)(x)=x-\sqrt x \rightarrow$ $D=[0,+\infty)$ $(f.g)(x)=x\sqrt x \rightarrow$ $D=[0,+\infty)$ $(\frac{f}{g})(x)=\sqrt x \rightarrow$ $D=[0,+\infty)$

We are given $f(x)=x$ and $g(x)=\sqrt x$ $(f+g)(x)=x+\sqrt x \rightarrow$ the domain is $[0,+\infty)$ $(f-g)(x)=x-\sqrt x \rightarrow$ the domain is $[0,+\infty)$ $(f.g)(x)=x\sqrt x \rightarrow$ the domain is $[0,+\infty)$ $(\frac{f}{g})(x)=\sqrt x \rightarrow$ the domain is $[0,+\infty)$