Matematika

Pertanyaan

fungsi f(x)=px-2 dan g(x)=4x+1, jika hasil (fog)(4)=32 maka tentukanlah : a.) nilai p b.) (gof)(x) c.) (fog)(2)

1 Jawaban

  • f(x)= px - 2
    g(x)= 4x + 1
    fog(4)= 32
    f{g(4)} = 32
    f(4*4 +1) = 32
    f(17) = 32
    17p - 2 = 32
    17p= 34
    p= 2

    f(x) = 2x - 2
    gof(x) = g {2x-2) = 4(2x-2) + 1
    gof(x) = 8x - 7

    fog(2) = f{g(2)} = f(4*2 +1) = f(9) = 2(9) - 2 = 16

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