diketahui : [tex]g(x - 2) = 2x + 7[/tex] [tex](h \: bundaran \: g)(x) = {4x}^{2} + 44x + 1 [/tex] Ditanya nilai [tex]h(10)[/tex]

g(x-2) = 2x + 7 ------> misal : p = x-2, x = p+2
g(p) = 2(p+2) + 7
g(p) = 2p + 4 + 7
g(p) = 2p + 11
g(x) = 2x + 11

(hog)(x) = 4x² + 44x + 1
h(g(x)) = 4x² + 44x + 1
h(2x + 11) = 4x² + 44x + 1
---> misal : a = 2x + 11, x = (a - 11)/2
h(a) = 4((a-11)/2)² + 44((a - 11)/2) + 1
h(a) = 4(a-11)²/4 + 22(a-11) + 1
h(a) = (a-11)² + 22a - 242 + 1
h(a) = a² - 22a + 121 + 22a - 242 + 1
h(a) = a² - 120
h(x) = x² - 120
h(10) = 10² - 120
h(10) = 100 - 120 = -20