dik f(x) = 2x-3 dan g(x) x² -2x-2. tentukan a. (fog) (x) b. (gof) (x)

a. (fog)(x) = fg(x) - f(x^2-2x-2) = 2(x^2-2x-2)-3 = 2x^2-4x-6-3 = 2x^2-4x-9

b (gof)(x) = g f(x) =g(2x-3) = (2x-3)^2 -2(2x-3)-2 = 4x^2-12x+9-4x+6-2 
                                                                            = 4x^2-16x+13

f(x) = 2x - 3
g(x) = x² - 2x - 2

a) (fog) (x) = f(g(x))
= 2(x² - 2x - 2) - 3
= 2x² - 4x - 4 - 3
= 2x² - 4x - 7

b) (gof) (x) = g(f(x))
= (2x - 3)² - 2(2x - 3) - 2
= 4x² - 12x + 9 - 4x + 6 - 2
= 4x² - 16x + 13