Let f(x) = 9x ÷ 9x + 3 then f(x) + f(1 - x) =
Given f (x) = 9^x/(9^x+3) f(1-x) = 9^(1-x)/[9^(1-x)+3] 9^(1-x) = 9/9^x f(1-x) = 9/9^x/(9/9^x +3) f(1-x) = 9/(9+3*9^x) f(1-x) =3/(9^x+3) f(x)+f(1-x) = 9^x/(9^x+3) + 3/(9^x+3) = (9^x+3)/(9^x+3) = 1 Answer : 1 |