Question

Diketahui : f(x) = 2x2 – 3x + 4
g(x) = 4x – 1
ditanya : a) (fog)(x)
b) (fog)(2)

Answer 1

A)
(f o g)(x) artinya f(g(x))
maka
f(g(x)) = f(4x - 1)
= 2(4x - 1)² - 3(4x - 1) + 4
= 2(16x² - 4x + 1) - 12x + 3 + 4
= 32x² - 8x + 2 - 12x + 7
= 32x² - 20x + 9

b)
(f o g)(2) artinya input x=2 ke pers yg sdh qt dpt di (a)

(f o g)(2) = 32(2)² - 20(2) + 9 = 32(4) - 40 + 9 = 120 - 40 + 9 = 89