Matematika

Pertanyaan

diketahui rumus fungsi L(x) = ax + b dan L(-1) = 1 serta L(2) = 4,maka a + b adalah

2 Jawaban

  • L(x) = ax + b
    • L(-1) = a(-1) + b
    1 = -1a + b
    • L(2) = a(2) + b
    4 = 2a + b

    4 = 2a + b
    1 = -1a + b
    ________-
    3 = 3a
    1 = a


    4 = 2a + b
    4 = 2(1) + b
    4 = 2 + b
    4 - 2 = b
    2 = b

    maka, a + b = 1 + 2 = 3

  • L(x) = ax + b

    L(-1) = a(-1) + b = 1
    -1a + b = 1
    b = 1 + 1a

    L(2) = a(2) + b = 4
    a(2) + 1(1+1a) = 4
    2a + 1 + 1a = 4
    3a = 4 - 1
    3a = 3 a=1

    L(2) = 1(2) + b = 4
    2 + b = 4
    B = 4 - 2 = 2

    a + b = 1+2 = 3

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