Matematika

Pertanyaan

Fungsi f ditentukan dengan rumus f(x) = ax + b. Jika f(5) = 13 dan f(-2) = -8, tentukan nilai a dan b!

2 Jawaban

  • f (5) = 5a + b = 13
    f (-2) =-2a + b = -8
            = 7a = 21
            = a = 21/7 = 3
    f (5) = 5(3) + b = 13
           = 15 + b = 13
           = b = 13-15 = -2

    jadi, a = 3, b = -2
  • f(x) = ax + b
    f(5) = a5 + b
    13 = 5a + b
    13 - 5a = b

    f(-2) = -2a + b
    -8 = -2a + b
    -8 + 2a = b

    -8 +2a = 13 - 5a ( karna keduanya hasilnya b)
    2a + 5a = 13 + 8
    7 a = 21
    a. = 3

    b = 13 - 5a
    b = 13 - 5x3
    b = -2

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