If fx2−6x+6+fx2−4x+4=2x∀x∈R then f(−3)+f(9)−5f(1)=
7
8
9
10
x2−6x+6=x2−4x+4⇒x=1
Put x=1 in the given relation to 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 to get
f(−3)+f(1)=6⇒f(−3)=5and f(1)+f(9)=10⇒f(9)=9f(−3)+f(9)−5f(1)=9