Matematika

Pertanyaan

Diketahui suatu fungsi f(x) = ax + b memiliki nilai f(-1) = 1 dan f(2) = 13. nilai f(4) adalah

2 Jawaban

  • f(x) = ax + b
    f(-1) = a(-1) + b = 1
    f(2) = a(2) + b = 13

    -a + b = 1
    2a+ b = 13
    ——————— -
    -3a = -12
    a = 4

    lalu susbstitusikan ke salah satu fungsi disoal
    2(4) + b = 13
    8 + b = 13
    b = 13 - 8
    b = 5

    f (4) = 4(4) + 5
    16 + 5 = 21

  • f(x) = ax + b
    f(-1) = -1a + b = 1
    f(2) = 2a + b = 13

    -1a + b = 1
    2a + b = 13
    ----------------- -
    -3a = -12
    a = 4

    2a + b = 13
    2 . 4 + b = 13
    8 + b = 13
    b = 5

    f(x) = ax + b
    f(x) = 4x + 5
    f(4) = 4 . 4 + 5
    = 16 + 5
    = 21

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