Matematika

Pertanyaan

f'(x)=a f(4)=8 f(2)=2 f(x)=?

1 Jawaban

  • f'(x) = a
    f(x) = ax + c

    f(4) = a(4) + c
    8 = 4a + c
    c = 8 - 4a ....(1)

    f(2) = a(2) + c
    2 = 2a + c

    subtitusi
    2a + c = 2
    2a + (8 - 4a) = 2
    2a - 4a = 2 - 8
    -2a = -6
    a = -6/-2
    a = 3

    2a + c = 2
    2(3) + c = 2
    6 + c = 2
    c = 2 - 6
    c = -4

    jadi, f(x) = ax + c = 3x + (-4) = 3x - 4

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