Matematika

Pertanyaan

suatu fungsi dirumuskan F (×)= a×+b, jika F(-2)= 13 & F (3)= -7, maka nilai F (2) + F (-3)?

2 Jawaban

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  • f(x) = ax + b
    f(-2) = - 2a + b = 13 ........(1)
    f(3) = 3a + b = - 7 .........(2)
    ____________________ _
    - 5a = 20
    a = - 4

    3a + b = - 7
    3(-4) + b = - 7
    - 12 + b = - 7
    b = - 7 + 12
    b = 5

    rumus fungsi
    f(x) = ax + b
    f(x) = - 4x + 5

    nilai f(2)
    f(x) = - 4x + 5
    f(2) = - 4(2) + 5
    f(2) = - 8 + 5
    f(2) = - 3

    nilai f(-3)
    f(x) = - 4x + 5
    f(-3) = - 4(-3) + 5
    f(-3) = 12 + 5
    f(-3) = 17

    nilai f(2) + f(-3)
    = - 3 + 17
    = 14

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