Matematika

Pertanyaan

Tolong di jawab kakak..
Diketahui fungsi f(x)=3x²,g(x)=2x+4 dan h(x)=5-x hasil (hogof)(x) adalah

2 Jawaban

  • (hogof)(x)
    = h(g(f(x)))
    = h(g(3x^2))
    = h(2(3x^2)+4)
    = h(6x^2 + 4)
    =5 - (6x^2 + 4)
    = 1 - 6x^2
    atau
    = -6x^2 +1

    ^ dibaca pangkat
  • (g o f)(x) = g(f(x)) = g(3x^2) = 2(3x^2) + 4 = 6x^2 + 4

    (h o g o f)(x) = (h o (g o f))(x)
    = h((g o f)(x))
    = h(6x^2 + 4)
    = 5 - (6x^2 + 4)
    = 5 - 6x^2 - 4
    = 1 - 6x^2

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