Matematika

Pertanyaan

jika (fog)((x)= 10x-8 dan g(x)= 2x+4 maka f^-1(x)=

1 Jawaban

  • jawab

    (fog)(x)= 10x - 8 ,  g(x)= 2x + 4
    f{ g(x)} = 10x - 8
    f{2x +4} = 10 x - 8
    f⁻¹(10x -8) = 2x + 4
    10x - 8 = y
    10x = y+ 8
    x = 1/10 (y+8)

    f⁻¹(y) = 2 (1/10)(y+8)  +  4
    f⁻¹(y) = 1/5 (y+8) + 4
    f⁻¹(x) = 1/5(x+8) + 4

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