f(x) =3 -2x dan g(x) = x pangkat 2-2x+3 tentuakan a.fog (x) b. gof (x) c. fog (5) d. gof (-3)
Matematika
Apipah2412
Pertanyaan
f(x) =3 -2x dan g(x) = x pangkat 2-2x+3 tentuakan a.fog (x) b. gof (x) c. fog (5) d. gof (-3)
1 Jawaban
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1. Jawaban yumnaadibah199
(f • g)(x) = f (g (x)) =3 - 2 ( x² - 2x + 3) = 3 - 2x² + 4x - 6 = 2x² - 4x + 3
(g • f)(x) = g (f (x)) = (3 - 2x)² - 2(3 - 2x) +3 = 9 - 12x +4x² -6 +4x +3 =4x²-8x+6 = 2x² -4x +3
(f • g)(5) = 50 - 100 +3 =47
(g • f)(-3) = 18 + 12 + 3 = 33