Matematika

Pertanyaan

Jika f(x-1)=x-2 dan g(x)=2-x/x+3, maka nilai (g^-1 o f)(1) adalah
A. -6
B. -2
C. -1/6
D. 1/4
E. 4

1 Jawaban

  • Langsung aja y

    f(x-1) = x-2
    f(x) = (x+1) - 2
    f(x) = x + 2 - 2
    f(x) = x

    g(x) = 2-x / x+3
    y = 2-x / x+3
    y(x+3) = 2-x
    xy + 3y = 2 - x
    xy + x = 2 - 3y
    x(y+1) = 2-3y
    x = (2-3y) / (y+1)

    g`¹(x) = (2 - 3x) / (x + 1)


    (g`¹of)(1) = g`¹{f(1)}

    = (2 - 3x) / (x + 1)
    = (2 - 3) / (1 + 1)
    = - ½

    jawabannya gak ada

    semoga berguna +_+

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