Matematika

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3.) F(x) = 4x + 2 dan g(x) = x - 3 / x + 1, x tdk sama dgn -1. Maka invers dari (gof) (x) adalah...
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  • f(x) = 4x + 2
    g(x) = (x - 3) / (x + 1)

    (g o f) (x) = g(4x + 2)
    (g o f) (x) = ((4x + 2) - 3) / ((4x + 2) + 1)
    (g o f) (x) = (4x - 1) / (4x + 3)
    y = (4x - 1) / (4x + 3)
    (4x - 1) = y(4x + 3)
    4x - 1 = 4xy + 3y
    4x - 4xy = 3y + 1
    x (4 - 4y) = 3y + 1
    x = (3y + 1) / (4 - 4y)
    (g o f) -ยน(x) = (3x + 1) / (4 - 4x)

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