Matematika

Pertanyaan

Suatu fungsi di nyatakan sebagai f(x) =ax+b, jika f(5) =25 dan f(4) =-11 nilai dari f(2) -f(5) adalah

1 Jawaban

  • f (x) = ax + b
    f (5) = 25
    f (4) = -11
    f (2) - f (5) = ...?
    Jawab :
    f (x) = ax + b
    f (5) = 5a + b = 25
    f (4) = 4a + b = -11

    5a + b = 25 ··· (1)
    4a + b = -11 ··· (2)
    _________ --
    a = 36

    5a + b = 25 ··· (1)
    5.36 + b = 25
    180 + b = 25
    b = 25 - 180
    b = -155


    f (2) = 2a + b
    f (2) = 2.36 + ( -155 )
    f (2) = 72 - 155
    f (2) = -83

    f (5) = 5a + b
    f (5) = 5.36 + ( -155 )
    f (5) = 180 - 155
    f (5) = 25

    Maka,
    f (2) - f (5)
    = -83 - 25
    = -108

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