Questions asked by enculinha

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• Prove that, can anyone help me, please?
  
• Be f : A → B a function and X,Y ⊂ B. Show that: any thoughts? thanks
  
• Be f : A → B a function and X,Y ⊂ A. Show that: any thoughts? thanks
  
• How do I prove these couple of sets? thanks
  
• Question about inverse function ?
  
• What is the area of the dark square? Help please