Matematika

Pertanyaan

Diketahui f(x) = x + 5,g(x)=2x + 3 dan h(x) = 3x - 1 . tentukan (f °g) ° h(x)

2 Jawaban

  • Langsung aja y

    misal → (fog)(x) = s(x)

    (fog)(x) = f{g(x)}

    = g(x) + 5
    = 2x + 3 + 5
    = 2x + 8

    (soh)(x) = s{h(x)}

    = 2h(x) + 8
    = 2(3x-1) + 8
    = 6x - 2 + 8
    = 6x + 6

    semoga berguna +_+
  • (f°g)°h(x) = (f(g(x)))°h(x)
    (f°g)°h(x) = f(2x+3)°h(x)
    (f°g)°h(x) = (2x+3+5)°h(x)
    (f°g)°h(x) = (2x+8)°(3x-1)
    (f°g)°h(x) = 2(3x-1) + 8
    (f°g)°h(x) = 6x-2+8
    (f°g)°h(x) = 6x+6

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