Matematika

Pertanyaan

diketahui f(x)=2x+2 dan g(x)=15/x jika (f-1 o g-1 )(x)=1 maka x?

1 Jawaban

  • (f-¹og-¹)(x) = (gof)-¹(x)

    (gof) (x) = 15 / 2x+2

    y = 15 / 2x+2
    y(2x+2)= 15
    2xy + 2y = 15
    2xy = 15-2y
    x = 15-2y / 2y
    (gof)-¹(x) = 15 - 2x / 2x
    1 = 15 - 2x / 2x
    2x = 15-2x
    2x + 2x = 15
    4x=15
    x=15/4

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