diketahui fog x = 4x² - 2x+1 dan gx = 2x-1 tentukan rumus fungsi fx

rumus fungsi f(x) = x^2+x+1

g(x) = 2x - 1

(fog) (x) = 4x² - 2x + 1
f(g(x)) = 4x² - 2x + 1
f(g(x)) = 4x² - 4x + 2x + 1
f(g(x)) = 4x² - 4x + 1 + 2x
f(g(x)) = (2x-1)² + 2x
f(g(x)) = (2x-1)² + 2x - 1 + 1
f(g(x)) = (2x-1)² + (2x-1) + 1
f(g(x)) = (g(x))² + g(x) + 1
→ f(x) = x² + x + 1 (ganti semua g(x) dgn x)

Jadi, f(x) = x² + x + 1