g(x) = x^-2x+2 tentukan (gog)(x)

jawab

g(x) = x² -2x + 2
gog (x) = g { g(x)} = g (x²-2x +2)
= (x² -2x +2)² - 2 (x² -2x + 2) + 2
= x⁴ - 4x³ + 8x² - 8x + 4 - 2x² + 4x -4 + 2
= x⁴ - 4x³ + 6x² - 4x + 2