Given f(x)=xx9\displaystyle {f{{\left({x}\right)}}}=\frac{{x}}{{{x}-{9}}}  and g(x)=8x\displaystyle {g{{\left({x}\right)}}}=\frac{{8}}{{x}} , find the following.

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

 

b) the domain of (fg)(x)\displaystyle {\left({f}\circ{g}\right)}{\left({x}\right)} in interval notation