Question

kak tolong ya tahu dikumpul hari ini... ​

Answer 1

Penjelasan dengan langkah-langkah:

g(x) = x² - 4x + 5

(fog)(x) = 3x² - 12x + 7

cari invers g(x)

y = x² - 4x + 5

y = (x - 2)² - 4 + 5

y = (x - 2)² + 1

y - 1 = (x - 2)²

√(y - 1) = x - 2

x = 2 ± √(y - 1)

ambil x = 2 + √(y - 1)

(fog)(x) = f(g(x))

3x² - 12x + 7 = f(x² - 4x + 5)

f(y) = 3(2 + √y - 1)² - 12(2 + √y - 1) + 7

f(y) = 3(4 + 4√(y - 1) + y - 1) - (24 + 12√(y - 1)) + 7

f(y) = (12 + 12√(y - 1) + 3y - 3) - 17 - 12√(y + 1)

f(y) = 9 - 17 + 3y

f(y) = -8 + 3y

f(y) = 3y - 8

f(x) = 3x - 8