diketahui f ( x) = x + 3 dan g(x) = x² -6x + 7. tentukan nilai a jika ( g o f) (a) = 2 !
Matematika
lidya244Agustina
Pertanyaan
diketahui f ( x) = x + 3 dan g(x) = x² -6x + 7. tentukan nilai a jika ( g o f) (a) = 2 !
1 Jawaban
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1. Jawaban aurigafdl
f ( x) = x + 3
g(x) = x² -6x + 7
f(a) = a + 3
( g o f) (a) = 2
g (f(a)) = 2
g (a + 3) = 2
a²- 6(a) + 7 = 2
a² - 6a + 5 = 0
(a - 1) (a - 5)
a = 1 atau a = 5
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