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Questions  

 If fx26x+6+fx24x+4=2xxR then f(3)+f(9)5f(1)=

a
7
b
8
c
9
d
10

detailed solution

Correct option is C

Let x2−6x+6=x2−4x+4Then x = 1  Putting x=1 in the given relation, we get f(1)=1 .  For x2−6x+6=1,x=1 or 5 For x2−4x+4=1,x=1 or 3 Put x=3 and 5 in the given relation.     f(−3)+f(1)=6⇒f(−3)=5 and     f(1)+f(9)=10⇒f(9)=9∴    f(−3)+f(9)−5f(1)=9

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