Question

F(x) = 3x²- 4x + 6
g(x) = 2x - 1
(f o g) (x) = 101

nilai x yang memenuhi f(x) dan g(x) adalah ... dan ...

Answer 1

F(x) = 3x² - 4x + 6
g(x) = 2x - 1
(f o g)(x) = 101

f(g(x)) = 101
f(2x-1) = 101
f(2x-1) = 3(2x-1)² - 4(2x-1) + 6 = 101
= 3(4x²-4x+1) - 8x + 4 + 6 = 101
= 12x² - 12x + 3 - 8x + 10 = 101
= 12x² - 20x + 13 = 101
= 12x² - 20x - 88 = 0
(x + 2) (12x - 44) = 0
x1 = -2
x2 = 11/3