Diketahui fungsi f(x) = 5x2 + 2 dan g(x) = 2x – 3. Komposisi fungsi (f o g)(x) = .... A 10x2 + 20x + 47 B 10x2 + 17 C 20x2 – 47x + 60 D 10x2 – 17x + 20 E 20x2 – 60x + 47
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Jawab:
komposisi
f(x) = 5x² + 2
g(x) = 2x - 3
fog(x) =
= f{g(x)}
= 5.{g(x)}² + 2
= 5 (2x - 3)² + 2
= 5 (4x² -12 x+ 9) + 2
= 20x² - 60 x + 45 + 2
= 20 x² -60 x + 47
