Given $\displaystyle {f{{\left({x}\right)}}}={x}+{5}$ and $\displaystyle {g{{\left({x}\right)}}}=\sqrt{{{x}+{6}}}$, determine the following. Write each answer using interval notation.

Domain of $\displaystyle {f{{\left({g{{\left({x}\right)}}}\right)}}}$: Preview Question 6 Part 1 of 2  

Domain of $\displaystyle {g{{\left({f{{\left({x}\right)}}}\right)}}}$: Preview Question 6 Part 2 of 2