Matematika

Pertanyaan

dik fungsi f(x) = x³ dan g(x) = 4x + 2. Nilai X jika (g¯¹ o f¯¹ ) (x) = 2 adalah...

1 Jawaban

  • (g-¹of-¹)(x) = (fog)-¹(x)
    mak
    nilai (fog)(x) = (4x+2)³

    y = (4x+2)³
    y^⅓ = 4x + 2
    4x = y^⅓ - 2
    x = ¼y^⅓ - 2
    (fog)-¹(x)= ¼x^⅓ - 2

    jika (g¯¹ o f¯¹ ) (x) = 2
    maka
    2 = ¼x^⅓ - 2
    ¼x^⅓ = 2+2
    ¼x^⅓ = 4
    x^⅓ = 16
    x= (16)^⅓
    x = (2⁴)^⅓
    x = 2^4/3

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