Matematika

Pertanyaan

Jika f(x-2) = 3-2x , gof (x+2) = 5-4x , g (-1).... ?

1 Jawaban

  • Langsung aja y

    misal :
    x-2 = a
    x = a+2

    f(a) = 3 - 2(a+2)
    f(a) = 3 - 2a - 4
    f(x) = -2x - 1

    misal :
    x+2 = a
    x = a-2

    (gof)(a) = 5 - 4(a-2)
    (gof)(a) = 5 - 4a + 8
    (gof)(x) = -4x + 13

    (gof)(x) = g{f(x)}
    -4x + 13 = g(-2x-1)

    misal :
    -2x - 1 = a
    x = a+1 / -2

    soal menjadi →
    g(a) = -4(a+1 / -2) + 13
    g(a) = 2(a+1) + 13
    g(a) = 2a + 2 + 13
    g(a) = 2a + 15

    g(-1) = 2(-1) + 15
    g(-1) = -2 + 15
    g(-1) = 13

    Semoga berguna +_+

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