if f(x)+2*f(6-x) = x, find f(1)

• put x=1
  f(1)+2*f(5)=1
  put x=5
  f(5)+2*f(1)=5
  f(5)=5-2*f(1)
  then f(1)+2*{5-2*f(1)}=1
  3*f(1)=9
  f(1)=3 Ans
  
• 12 years agoHelpfull: Yes(38) No(0)
• Put x=1
  f(1)+2f(5)=1
  f(5)+2f(1)=5
  solving equation we get
  f(1)=3
• 12 years agoHelpfull: Yes(8) No(0)
• put x=1
  then f(1)+ 2*f(5)=1
  and put x=5
  then f(5)+ 2*f(1)=5
  by solving these to eqns...
  f(1)=3
• 12 years agoHelpfull: Yes(3) No(0)
• f(x)+2*f(6-x)=x......eqn1
  putting x=1 in eqn1 we get f(1)+2*f(6-1)=1....... eqn2
  again putting x=5 in eqn1 we get f(1)+2*f(6-5)=5..... eqn3
  solving to equations we get f(1)=3(ans)
• 12 years agoHelpfull: Yes(2) No(0)