Matematika

Pertanyaan

3. Jika f(x) = ax + b dengan f(0) = 4 dan f(1) = -4, maka tentukan nilai dari a2 + b2 = …

2 Jawaban

  • f(0)=a.0+b
    4 =b
    f(1)=a.1+b
    -4=a+b
    a+b=-4
    a+4=-4
    a=-8
    a2+b2=
    (-8)2+(4)2=80
  • f(x) = ax+b
    f(0) = 4
    f(1) = -4
    a^2 + b^2 =....

    f(x) = ax + b
    f(0) = a(0) + b = 4
    b = 4

    f(x) = ax + b
    f(1) = a(1) + 4 = -4
    a + 4 = -4
    a = -4 - 4
    a = -8

    a^2 + b^2 = (-8)^2 + (4)^2 = 64 + 16 = 80

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