Matematika

Pertanyaan

diketahui fungsi g(x)=ax²+b.Jika g(2)=-1 dan g(-4)=5,nilai g(-1)+2=

1 Jawaban

  • g(x) = ax² + b

    g(2) = -1
    a(2)² + b = -1
    4a + b = -1

    g(-4) = 5
    a(-4)² + b = 5
    16a + b = 5

    16a + b= 5
    4a + b = -1
    ------------------- -
    12a = 6
    a = 6/12
    a = 1/2

    4a + b = -1
    4(1/2) + b = -1
    2 + b = -1
    b = -1 - 2
    b = -3

    g(x) = 1/2x² - 3
    g(-1) + 2 = 1/2(-1)² - 3 + 2
                   = 1/2 - 3 + 2
                   = 1/2 - 1
                   = -1/2

Pertanyaan Lainnya