f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2)
Pick one:
A) 0
B) 1
C) 2
D) 3
E) 4
f(x) + 3f(8 - x) =f(2) + 3f(6) = 2 : x = 2 above   f(6) + 3f(2) = 6 : x = 6 above   f(6) = 6 - 3f(2) : solve equation 2 for f(6)   f(2) + 3(6 - 3f(2)) = 2 : substitute   f(2) = 2 : solve above equation   correct answer 2
<result>C</result>
f(x) is a function such that f(x) + 3f(8 - x) = x for all real numbers x. Find the value of f(2)