Question

Jika f(x)=2x-4 dan (g komposisi f)(x)=4x²-24x+32, maka g(x)=

Answer 1

Y = 2x - 4
y + 4 = 2x
x = (y + 4) / 2
(gof)(x) = 4x² - 24x + 32
g(x) = 4((x + 4)/2)² - 24 (x+4)/2 + 32
         = x² + 8x + 16 - 12x -48 + 32
         = x² - 4x