Matematika

Pertanyaan

bila f(x)= x^3 dan g(x)=3x-4 maka (g-^1○f-^1)(8)

1 Jawaban

  • jawab
    g⁻¹ o f⁻¹ (x) = (fog)⁻¹(x)

    f(x) = x³
    g(x)= 3x - 4

    misal 
    y = (g⁻¹ o f⁻¹)(8)
    y =  (fog)⁻¹(8) → fog(y)= 8
    f{g(y)} = 8
    f(3y- 4) = 8
    (3y - 4)³ = 8
    (3y- 4)³ = (2)³

    3y - 4 = 2
    3y = 6
    y = 2
    maka  (g⁻¹ o f⁻¹)(8)= 2

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