jika f(x)=x²+3x-2dan g(x)=2x+3nilai(f•g) (-2)=....
Matematika
yulia480
Pertanyaan
jika f(x)=x²+3x-2dan g(x)=2x+3nilai(f•g) (-2)=....
1 Jawaban
-
1. Jawaban Anonyme
f (x) = x² + 3x - 2
g (x) = 2x + 3
(fog) (x)
= f {g (x)}
= f (2x + 3)
= (2x + 3)² + 3 (2x + 3) - 2
= 4x² + 12x + 9 + 6x + 9 - 2
= 4x² + 12x + 6x + 18 - 2
= 4x² + 18x + 16
(fog) (-2)
= 4 (-2)² + 18 (-2) + 16
= 4 (4) + (-36) + 16
= 16 - 36 + 16
= -36 + 32
= -4