Matematika

Pertanyaan

f(x) = ax + b, jika f(1) = 3, f(2) = 5, maka f(5) sama dengan

2 Jawaban

  • FUNGSI

    ● Alternatif 1
    f(x) = ax + b
    f(1) = a(1) + b
    3 = a + b
    a + b = 3 ...... (1)

    f(2) = a(2) + b
    5 = 2a + b
    2a + b = 5 ...... (2)

    dari (1) dan (2)
    a + b = 3
    2a + b = 5
    _________ __
    -a = -2
    a = 2

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

    f(x) = 2x + 1
    f(5) = 2×5 + 1
    f(5) = 11

    ● Alternatif 2

    (2-1)f(x) = (5-3)x + (2×3 - 5×1)
    f(x) = 2x + 6 - 5
    f(x)= 2x + 1
    sehingga
    f(5) = 2×5 + 1
    f(5) = 10+1
    f(5) = 11
  • a + b = 3
    2a + b = 5
    ____________ _
    -a = -2
    a = 2

    a + b = 3
    2 + b = 3
    b = 1

    f(x) = ax + b
    f(x) = 2x + 1
    f(5) = 2(5) + 1
    f(5) = 10+1
    f(5) = 11

    ___________
    #Semoga bermanfaat ^_^

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