Matematika

Pertanyaan

Diketahui f(x)= 3x - 1 dan g(x) = 2x + a jika (fog)(-2) = 2 maka nilai a^2 + 2a + 1 =

2 Jawaban

  • f(x) = 3x - 1
    g(x) = 2x + a

    (fog)(-2) = 2
    = 3(2(-2)+a)-1 = 2
    = -12 + 3a -1 = 2
    = 3a = 15
    = a = 5

    nilai a^2 + 2a + 1 = 5^2 + 2(5) + 1 = 36
  • (fog)(-2) = 3(2(-2)+a) -1
    2 = 3(-4+a) -1
    2 = -12 + 3a -1
    a = 15/3 = 5

    5² + 2(5)+1
    = 25 +10 +1
    = 36

Pertanyaan Lainnya