Matematika

Pertanyaan

jika f(x)=3x-1 dan g(x)= x^2+4x-5 maka (gof) (x)=
A.9x^2+12x-8
B.9x^2+12x-5
C.9x^2+12x-4
D.9x^2+6x-5
E.9x^2+6x-8

2 Jawaban

  • g(f(x))
    g(3x - 1)
    (3x - 1)^2 + 4(3x - 1) - 5
    9x^2 - 6x + 1 + 12x - 4 - 5
    9x^2 + 6x - 8
  • f(x) = 3x-1
    g(x) = x²+4x-5

    (g•f)(x) = g(f(x))
    = (3x-1)² + 4(3x-1) - 5
    = 9x²-6x+1+12x-4-5
    = 9x² + 6x - 8 (E)

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