Function Decomposition
Given the composition h(x)=f(g(x))\displaystyle {h}{\left({x}\right)}={f{{\left({g{{\left({x}\right)}}}\right)}}},

If h(x)=1x8\displaystyle {h}{\left({x}\right)}={\frac{{{1}}}{{{x}-{8}}}} and g(x)=x8\displaystyle {g{{\left({x}\right)}}}={x}-{8}, find the function f(x)\displaystyle {f{{\left({x}\right)}}}.
f(x)\displaystyle {f{{\left({x}\right)}}}=