Matematika

Pertanyaan

f(x) =3x-4
g(x) =2x+p
(f°g) (x)=(g°f) (x)
Maka nilai p adalah?

1 Jawaban

  • i. fog(x) = f(g(x))
    = f(2x+p)
    = 3(2x+p)-4
    = 6x+3p-4
    ii. gof(x) = g(f(x))
    = g(3x-4)
    = 2(3x-4)+p
    = 6x-8+p

    fog(x) = gof(x)
    6x+3p-4 = 6x-8+p
    3p-p = -8+4
    2p = -4
    p = -2

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