Consider the functions f(x)=4x1\displaystyle {f{{\left({x}\right)}}}={4}{x}-{1}  and g(x)=x+4\displaystyle {g{{\left({x}\right)}}}=\sqrt{{{x}+{4}}} .  Determine each of the following.

 fg(x)=\displaystyle {f}\circ{g{{\left({x}\right)}}}=  

Give the domain of fg(x)\displaystyle {f}\circ{g{{\left({x}\right)}}}  


gf(x)=\displaystyle {g}\circ{f{{\left({x}\right)}}}=  

Give the domain of gf(x)\displaystyle {g}\circ{f{{\left({x}\right)}}}