Matematika

Pertanyaan

f(x)= x2-4x+6
g(x)= 3x-5
jika (gof)(x) = 13, tentukan x

2 Jawaban

  • (gof)(x): (g(fog))(x)
    (13)(x): ( 3x(4x+6)-5)
    13(x) :12x"+18x-5
    (x) 12x"+18x-5-13
    12x"+18x-18
  • f(x)= x²-4x+6          g(x)= 3x-5
    (gof)(x) = 13
    g(f(x)) = 13
    g(
    x²-4x+6) = 13
    3(x²-4x+6)-5 = 13
    3(x²-4x+6) = 13+5
    3(x²-4x+6) = 18
    (x²-4x+6) = 6
    x²-4x+6-6 = 0
    x²-4x = 0
    x(x-4) = 0
    x = 0 atau x-4 = 0
                     x =4






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