Matematika

Pertanyaan

Diketahui fungsi linear R:x > ax+b memetakan 5>5, memetakan 8>7, dan memetakan p>19 . nilai p adalah

1 Jawaban

  • f(x) = ax + b
    f(5) = 5a + b = 5
    f(8) = 8a + b = 7
    ---------------------- --
    ........ -3a = -2 => a = 2/3
    5a + b = 5
    5(2/3) + b = 5
    b = 5 - 10/3 = 5/3

    f(x) = 2/3 x + 5/3
    f(p) = 2/3 p + 5/3 = 19 .......... kali 3
    => 2p + 5 = 57
    => 2p = 52
    => p = 26

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