jika f(x) = 2x-1 dan (gof) (x) = 4x^2-2x. tentukan g(x)

boom...

f(x) = 2x - 1
f^-1 (x) = (x + 1)/2

(gof)(x) = G(x) = 4x² - 2x

g(x) = G(f^-1 (x))
g(x) = 4((x + 1)/2)² - 2(x + 1)/2
g(x) = (x + 1)² - (x + 1)
g(x) = (x² + 2x + 1) - x - 1
g(x) = x² + x