Question

Jika f(x) = x² - 2x + 4 dan g(x+1) = 2x - 3 maka (fog) (x) =.....

Answer 1

G(x+1) = 2x - 3        dan    f(x) = x² - 2x + 4
           = 2(x+1) - 5
g(x)    = 2x - 5
(fog)(x) = f(g(x))
            = f(2x-5)
            = (2x-5)² - 2(2x-5) + 4
            = 4x² - 20x + 25 - 4x + 10 + 4
            = 4x² - 24x + 39