The partial fraction decomposition of 20x24\displaystyle {\frac{{{20}}}{{{x}^{{2}}-{4}}}} can be written in the form of f(x)x2+g(x)x+2,\displaystyle {\frac{{{f{{\left({x}\right)}}}}}{{{x}-{2}}}}+{\frac{{{g{{\left({x}\right)}}}}}{{{x}+{2}}}}, where
f(x)=\displaystyle {f{{\left({x}\right)}}}=   ,
g(x)=\displaystyle {g{{\left({x}\right)}}}=   .