.Let f be a function such that f(f(x))=f(x+2)-3 for all intergersx,if f(1)=4 and f(4)=3,then f(5) is
a)12 b)15 c)6 d)9

• f(f(1))=f(1+2)-3
  f(4)=f(3)-3 ,{f(1)=4)}
  f(3)=f(4)+3=6;
  f(f(4))=f(4+2)-3
  f(3)=f(6)-3
  f(6)=f(3)+3=9;
  f(f(3))=f(3+2)-3
  f(6)=f(5)-3
  f(5)=f(6)+3=12
  
  
• 8 years agoHelpfull: Yes(20) No(5)
• First substitute the given numbers 1nd 4
  f(f(1))=f(1+2)-3---->
  now f(1)=4
  (i.e) f(4)=f(3)-3----->3=f(3)-3----> f(3)=6
  
  now x=4
  f(f(4))=f(4+2)-3
  f(3)=f(6)-3-----> f(6)=6+3=9
  
  now take x=3
  
  f(f(3))=f(3+2)-3
  f(6)=f(5)-3----->f(5)=9+3=12
  
• 8 years agoHelpfull: Yes(1) No(0)