Question 1005167

if  {{{f(x)= sqrt(x-3)}}}   ,{{{g(x)=  x^2+8}}}

then first we apply {{{f}}}, then apply {{{g}}} to that result:

{{{g(f (x))=g(sqrt(x-3))}}}

{{{g(sqrt(x-3))= (sqrt(x-3))^2+8}}}

{{{g(sqrt(x-3))= x-3+8}}}

{{{g(sqrt(x-3))= x+5}}}

the domain is:{{{R}}} (all real numbers)