su jika f(x) = 2x + 7 dan (gof) (x) = 4x2 + 20x + 5 . tentukan g(x) dan g-1(x)

Langsung aja y

(gof)(x) = g{f(x)}
4x² + 20x + 5 = g(2x + 7)

misal :
2x + 7 = a
x = (a-7) / 2

soal menjadi →
g(a) = 4(a-7 / 2)² + 20(a-7 / 2) + 5
g(a) = 4(a²-14a+49)) / 4) + 10(a-7) + 5
g(a) = a² - 14a + 49 + 10a - 70 + 5
g(a) = a² - 4a - 16

g(x) = x² - 4x - 16

semoga berguna +_+