Given f(x)=2x4x5\displaystyle {f{{\left({x}\right)}}}=\frac{{-{2}{x}-{4}}}{{{x}-{5}}} and g(x)=x+3x+1\displaystyle {g{{\left({x}\right)}}}=\frac{{{x}+{3}}}{{-{x}+{1}}}, the domain of f(x)g(x)\displaystyle {f{{\left({x}\right)}}}\cdot{g{{\left({x}\right)}}}

is all real numbers except x\displaystyle {x} =