Simplify the expression and give your answer in the form of f(x)g(x).\displaystyle {\frac{{{f{{\left({x}\right)}}}}}{{{g{{\left({x}\right)}}}}}}.
1x+21x+4\displaystyle {\frac{{{1}}}{{{x}+{2}}}}-{\frac{{{1}}}{{{x}+{4}}}}


Your answer for the function f(x)\displaystyle {f{{\left({x}\right)}}} is :  
Your answer for the function g(x)\displaystyle {g{{\left({x}\right)}}} is :