Matematika

Pertanyaan

Dik = f(x)=ax+b
f(3)=9
f(-3)=15

Dit = tentukan nlai dari f(-2) + f(2)

F(x)=ax+b
f(-3)=-15
f(3)=9

Dit = f(-2) f(2)

Dgn Cara nya Ok

1 Jawaban

  • f(3) = 9
    3a + b = 9

    f(-3) = -15
    -3a + b = 9

    Eliminasi
    3a + b = 9
    -3a + b = 15
    ------------------ + (ditambah, a tereliminasi) 
    2b = 24
    b = 12

    Substitusi
    3a + b = 9
    3a + 12 = 9
    3a = -3
    a = -1

    diperoleh a = -1 dan  b = 12

    Mencari f(2)
    f(x) = ax + b
    f(2) = -1(2) + 12
    f(2) = -2 + 12
    f(2) = 10

    Mencari f(-2)
    f(x) = ax + b
    f(-2) = -1(-2) + 12
    f(-2) = 2 + 12
    f(-2) = 14

    f(2) + f(-2) = 10 + 14
    f(2) + f(-2) = 24

    CMIIW

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