Diketahui f(x) = x^2 + 6x + 9 dan g(x) = [f(x)]^2 - 6[f(x)]

45

Pembahasan

Diketahui f(x) = x² + 6x + 9 dan g(x) = [f(x)]² - 6[f(x)] + 9.
Perhatikan bahwa g(x) dapat ditulis sebagai g(x) = (f(x) - 3)².
Kita perlu mencari h(x) = f(x) + g(x).
h(x) = (x² + 6x + 9) + (f(x) - 3)²
h(x) = (x² + 6x + 9) + ((x² + 6x + 9) - 3)²
h(x) = (x² + 6x + 9) + (x² + 6x + 6)²
Sekarang kita perlu mencari h(0).
h(0) = f(0) + g(0)
f(0) = 0² + 6(0) + 9 = 9
g(0) = [f(0)]² - 6[f(0)] + 9
g(0) = (9)² - 6(9) + 9
g(0) = 81 - 54 + 9
g(0) = 27 + 9
g(0) = 36
h(0) = f(0) + g(0)
h(0) = 9 + 36
h(0) = 45
Jadi, h(0) = 45.