diketahui f(x) =2x+1 dan (fog(x))=2x^2-2x+7. tentukan rumus fungsi g(x)

(fog(x))=2x^2-2x+7

f(g(x)) = 2x^2-2x+7

2 g(x) + 1 = 2x^2-2x+7

2 g(x) = 2x^2-2x+7-1

2 g(x) = 2x^2-2x+6

g(x) = (2x^2-2x+6) ÷ 2

g(x) = x^2 - x + 3