Respuesta :

apologiabiology
the domain of (f/g)(x) considers the domains of g(x) and f(x) and makes sure that g(x)≠0

because (f/g)(x)=f(x)/g(x)
and division by 0 is not allowed

the domains of f(x) and g(x) are all real numbers
now find what make g(x)=0
0=x-9
9=x

9 is restricted from the domain
domain is all real numbers except 9


so
[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}=[/tex]
[tex]\frac{x^3+2}{x-9}[/tex]
the domain is all real numbers except for 9