Matematika

Pertanyaan

1).F(x-4) = 4x+1
F(-1) = ........
2).f(3x+1)= 6x+5
F(1/2) =.........

2 Jawaban

  • 1) x-4= -1
    x=3
    f(-1)= 13

    2) 3x+1=1/2
    x= -1/6
    f(1/2)= 4


    maaf kalo salah
  • Mapel : Matematika

    Kelas : 8

    Bab : Relasi dan Fungsi
    =====================

    1] f(x - 4) = 4x + 1

    Misalkan

    x - 4 = y

    x = y + 4

    Maka, nilai f(x)

    f(x) = 4(x + 4) + 1
    f(x) = 4x + 16 + 1
    f(x) = 4x + 17

    Jadi, nilai fungsi f(-1)

    = 4(-1) + 17
    = -4 + 17
    = 16 ✔


    2] f(3x + 1) = 6x + 5

    Misalkan :

    3x + 1 = y
    3x = y - 1
    x = (y - 1)/3

    Maka, nilai f(x)
    f(x) = 6(x - 1)/3 + 5
    f(x) = 2x - 2 + 5
    f(x) = 2x + 3

    Sehingga, nilai fungsi f(1/2)

    = 2(1/2) + 3

    = 1 + 3

    = 4 ✔

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