jika f(x)=2x-1 per x+2 dan g(x)=3x-2,maka (gof)(x)=
Matematika
ChintiaAgustina
Pertanyaan
jika f(x)=2x-1 per x+2 dan g(x)=3x-2,maka (gof)(x)=
1 Jawaban
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1. Jawaban DimasRaka
f(x) = (2x - 1)/(x + 2)
g(x) = 3x - 2
(g • f) = 3[(2x - 1)/(x + 2)] - 2
=[(6x - 3)/(x + 2)] - 2
= (6x - 3)/(x + 2) - 2(x + 2)/(x + 2)
= (6x - 3)/(x + 2) - (2x + 4)/(x + 2)
= [(6x - 3) - (2x + 4)]/(x + 2)
= (4x - 7)/(x + 2)