Matematika

Pertanyaan

Suatu fungsi dengan rumus f(x) = ax + b. Jika f(4) = 5 dan f(-2) = -7

2 Jawaban

  • Dik: f(x)= ax+b

    f(4)= 4a+b = 5
    f(-2)= -2a+b = -7

    》 6a = 12
    》 a = 2

    》 4a+b = 5
    》 4(2)+b = 5
    》 8+b = 5
    》 b= 5-8 = -3

    Jd rumus fungsinya
    》 f(x) = ax+b
    》 f(x) = 2x-3
  • f(x) = ax + b
    f(4) = a(4) + b = 5
    4a + b = 5
    b = 5 - 4a

    f(-2) = a(-2) + b = -7
    -2a + b = -7
    2a - b = 7
    2a - (5 - 4a) = 7
    2a - 5 + 4a = 7
    6a = 7+5 = 12
    a = 2

    b = 5 - 4a
    b = 5 - 4(2) = 5 - 8
    b = -3

    Jadi,
    f(x) = 2x - 3

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