Diketahui f(x) = 3x + 1 & g(x) = 2x/3x+6 jika (fog)(a) = 7. Tentukan nilai a!
Matematika
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Pertanyaan
Diketahui f(x) = 3x + 1 & g(x) = 2x/3x+6 jika (fog)(a) = 7. Tentukan nilai a!
1 Jawaban
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1. Jawaban juliaratni
(f₀g)(x) = f(gx)
= f ( 2x/3x +6)
= 3( 2x/3x +6)+1
= 6x/9x + 18 + 1
= 2x/3x + 19
(f₀g)(a) = 2a/3a + 19 =7
= 2a/3a = 7-19
= 2a/3a = - 12
2a/3a = -12
2/3 a = -12
a = -12 x 3/2
= -36/2
= -18