Matematika

Pertanyaan

suatu fungsi F(x) = ax+b, jika F(2) = -2 dan F(-3) = 13
Maka hitunglah nilai dari F(4)+F(5)

2 Jawaban

  • f(x) = ax + b

    f(2) = a×2+b = 2a + b = -2
    f(-3) = a×3+b = -3a+b = 13 --
    --------------------------------------
    5a/5 = -15/5 = -3

    persamaan I
    = a×2+b = -2
    = -3×2+b = -2
    = -6 + b = -2
    b = -2+6
    b = 4

    a = -3
    b = 4

    f(4) = -3 × 4 + 4
    = -12 + 4 = -8

    f(5) = -3 × 5 + 4
    = -15 + 4 = -11

    f(4) + f(5)
    = -8 + - 11
    = -19

  • Fx = ax + b
    F2 = -2. = 2a + b = -2
    F-3= 13. = -3a + b= 13
    2a + b = 2 - (-3a + b = 13)
    5a = 15, a = 5
    2a + b = -2
    2.5 + b = -2
    b = -12
    F4 = 4.5 + -12 = 20-12 = 8
    F5 = 5.5+ -12 = 25-12 = 13
    F4+ F5 = 8 + 13 =21

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