Matematika

Pertanyaan

Diketahui fungsi g(x) = ax^+b. Jika g(2) = -1 g(-4)= 5, nilai g(-1) + 2 =

1 Jawaban

  • g(-2) = -1
    g(-4) = 5
    g(x) = ax² + b

    g(-2) = a(-2)² +b = 4a +b
    g(-4) = a(-4) ² +b = 16a + b

    4a+b = -1
    16a +b = 5
    _________-
    -12a = -6
    a= ½

    sub. a= ½ ke 4a + b = -1
    4(½) + b = -1
    b = -1 -9/2
    b = - 2/2 - 9/2
    b = -11/2
    g(x) = ½x² -11/2
    g(-1) +2 = ½(-1)² - 11/2
    g(-1) +2 = ½ -11/2 -4/2
    g(-1) +2 = -14/2
    g(-1) +2 = -7

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