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integral inside an integral


Does anyone know how to  make the following work using pure functions in Mathematica?   Given two functions f and g compute and for a fixed k[x]

h[f_,g_,alpha]:=NIntegrate[f[alpha-x]*k[x]/NIntegrate[g[alpha-x-y]*k[y],{y,-Infinity,Infinity}],{x,-Infinity,Infinity}]


I want to put arbitrary  functions f and g into h and get an answer.

Charles



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