Never mind, I figured it out.  Code below ;)

...Chambers


#declare f1=...
#declare f2=...
#declare f3=...

#declare p1=pigment{f1(x,y,z) color_map {[0 color rgb 0][1 color rgb x*3]}
#declare p2=pigment{f2(x,y,z) color_map {[0 color rgb 0][1 color rgb y*3]}
#declare p3=pigment{f3(x,y,z) color_map {[0 color rgb 0][1 color rgb z*3]}

#declare p_final = pigment {
  average
  pigment_map {
   [1 p1]
   [1 p2]
   [1 p3]
  }
}

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