Given a function, and two subsets, what does one mean by?

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Given a function<br><img src='https://www.fatskills.com/images2/GradExams/D202BF80-15FD-4B25-A4CE-691796F80B81.png' height='19' width='88'/>, and two subsets<br><img src='https://www.fatskills.com/images2/GradExams/6572A4A9-9C77-4226-ABEF-915BAF654C42.png' height='19' width='81'/>, what does one mean by<br><img src='https://www.fatskills.com/images2/GradExams/7FD270AC-103B-4B44-8C71-188F351D41E9.png' height='20' width='112'/>?