backing vs carrying-out

backing

noun
  • Support, especially financial. 

  • A backdrop. 

  • The mounting of a horse or other animal. 

  • The action of putting something back; a switching into reverse. 

  • A liner or other material added behind or underneath. 

  • Musicians and vocalists who support the main performer. 

adj
  • Providing support for the main performer. 

carrying-out

How often have the words backing and carrying-out occurred in a corpus of books? (source: Google Ngram Viewer )