Dik : fungsi f : R --> R , g : R --> R fungsi f(x) = x - 3 (gof)(x) = 2x^2 - 17x + 36 Dit : g(x) ?

g(f(x)) = 2x² - 17x + 36
g(x - 3) = 2x² - 17x + 36

x - 3 = a
x = a + 3

g(a) = 2(a + 3)² - 17(a + 3) + 36
g(a) = 2(a² + 6a + 9) - 17a - 51 + 36
g(a) = 2a² + 12a + 18 - 17a - 51 + 36
g(a) = 2a² - 5a + 3
g(x) = 2x² - 5x + 3

atau
g(x) = (2x - 3)(x + 1)