Diketahui f(x)=3x-2 dan g(b)=(b+1)/(b-1) jika (f˳g)(a)=2 maka a=….
Matematika
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Pertanyaan
Diketahui f(x)=3x-2 dan g(b)=(b+1)/(b-1) jika (f˳g)(a)=2 maka a=….
1 Jawaban
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1. Jawaban dwi2
Itu soal tentang fungsi komposisi kan.kalau ya,jawabannya :
f(a) = 3a-2
g(a) = (a+1)/(a-1)
(f₀g) (a) = f(g(a))
2 = 3((a+1)/(a-1)) - 2
2+2 = (3a+3)/(a-1)
4 = (3a+3)/(a-1)
3a+3 = 4(a-1)
3a+3 = 4a-4
4a+3a = 3+4
a = 7