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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
the domain is all real numbers except for 9
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
the domain is all real numbers except for 9