A certain function f satisfies the equation f(x)+2*f(6-x)=x for all real numbers x. The value of f(1) is
Choose the correct choice from the following choices:	A) 3	B) 1	C) 2	D) 5	E) 6
Put x =1 ⇒ f(1)+2*f(6-1) = 1 ⇒ f(1) + 2*f(5) = 1   Put x = 5 ⇒ f(5)+2*f(6-5) = 5 ⇒ f(5) + 2*f(1) = 5   Put f(5) = 5 - 2*f(1) in the first equation   ⇒ f(1) + 2*(5 - 2*f(1)) = 1   ⇒ f(1) + 10 - 4f(1) = 1   ⇒ f(1) = 3   3nswer: 3
<result>A</result>
A certain function f satisfies the equation f(x)+2*f(6-x)=x for all real numbers x. The value of f(1) is