Define the domain of g(x)=x12(x7)(x+2)\displaystyle {g{{\left({x}\right)}}}=\frac{{{x}-{12}}}{{{\left({x}-{7}\right)}{\left({x}+{2}\right)}}} .

Use interval notation for your answer.

The domain of g(x)\displaystyle {g{{\left({x}\right)}}} is: