Diketahui h (x) = f 0 g (x), jika h (x) = 2x² + 4x - 5 dan g (x) = x + 2, maka f (x) =
Matematika
RPTR2002
Pertanyaan
Diketahui h (x) = f 0 g (x), jika h (x) = 2x² + 4x - 5 dan g (x) = x + 2, maka f (x) =
1 Jawaban
-
1. Jawaban ahreumlim
h(x) = f 0 g(x)
h(x) = 2x² + 4x - 5
g(x) = x + 2
(fog)(x) = 2x² + 4x - 5
f(g(x)) = 2x² + 4x - 5
f(x + 2) = 2x² + 4x - 5
f(x) = 2(x - 2)² + 4(x - 2) - 5
= 2(x² - 4x + 4) + 4x - 4 - 5
= 2x² - 8x + 8 + 4x - 9
= 2x² - 4x - 1