diketahui f(x) = 3x - 4 dan g(x) = 2x + p, apabila (fog) = (gof) maka nilai 2p =
Matematika
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Pertanyaan
diketahui f(x) = 3x - 4 dan g(x) = 2x + p, apabila (fog) = (gof) maka nilai 2p =
1 Jawaban
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1. Jawaban dnnyz07
fog(x) = f(g(x))
fog = f(2x +p)
= 3(2x + p ) - 4
= 6x + 3p - 4
gof = g(f(x))
gof = g(3x - 4)
= 2(3x - 4) + p
= 6x - 8 + p
6x + 3p - 4 = 6x - 8 + p
Coret 6x
3p - 4 = p - 8
3p - p = -8 + 4
2p = -4