Diketahui g(x-2) = 2x+7 dan (h o g) (x) = 4x² + 44x + 1. Nilai h(10) = ....... a. -20 b. -18 c. -15 d. -10 e. -5

g(x - 2) = 2x +7
x - 2 = a
x = a + 2
g(a) = 2(a + 2) + 7
g(a) = 2a + 4 + 7
g(a) = 2a + 11
g(x) = 2x + 11

(h o g) (x) = 4x² + 44x + 1
h(g(x)) = 4x² + 44x + 1
h(2x + 11) = 4x² + 44x + 1
h(10) = ?
2x + 11 = 10
2x = 10 - 11
x = -½
h(10) = 4(-½)² + 44(-½) + 1
h(10) = 4 (¼) - 22 + 1
h(10) = 1 - 21
h(10) = -20
A

[tex]g(x - 2) = 2x + 7 \\ g(x - 2) = 2(x - 2) + 11 \\ g(x) = 2x + 11 \\ \\ h \: o \: g (x) = h(g(x)) \\h(g(x)) = h(2x + 11) = 4 {x}^{2} + 44x + 1 \\ h(2x + 11) = 4 {x}^{2} + 44x +121 - 120 \\ h(2x + 11) = {(2x + 11)}^{2} - 120 \\ h(x) = {x}^{2} - 120 \\ h(10) = 100 - 120 = - 20[/tex]
jawabannya A. kalau ada yang kurang jelas tanya aja