Matematika

Pertanyaan

Suatu fungsi ditentukan oleh rumus f(x) = a + bx. jika f(2) =( -3 )dan f(-1) =( -2), nilai f(-2) adalah...

1 Jawaban

  • f(x) = a + bx
    f(2) = (-3)
    → (-3) = a + b(2)
    (-3) = a + 2b

    f(-1) = (-2)
    → (-2) = a + b(-1)
    (-2) = a - b

    Eliminasi:
    a + 2b = -3
    a - b = -2
    ――――――――― (-)
    3b = -1
    b = -1/3

    Ambil salah satu persamaan tadi:
    a - b = -2
    a - (-1/3) = -2
    a + 1/3 = -2
    a = -2 - 1/3
    a = -6/3 - 1/3
    a = -7/3

    Sekarang, hitung f(-2):
    f(-2) = a + bx
    f(-2) = -7/3 + [(-1/3) x (-2)]
    f(-2) = -7/3 + 2/3
    f(-2) = -5/3

Pertanyaan Lainnya