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9 August, 15:01

If f (x) = 3x-1/4x+2 find f (x-1 / x+2)

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  1. 9 August, 15:19
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    The value of this new equation would be (2x - 5) / 6x.

    Step-by-step explanation:

    In order to find the value of this equation, we need to take the original equation and replace every x with (x - 1/x+2).

    f (x) = 3x - 1/4x + 2

    f (x) = [3 (x - 1/x+2) - 1]/[4 (x - 1/x+2) + 2]

    f (x) = [ (3x - 3/x + 2) - (x + 2/x + 2) ]/[ (4x - 4/x + 2) + (2x + 4/x + 2) ]

    f (x) = (2x - 5/x+2) / (6x/x + 2)

    f (x) = (2x - 5) / 6x
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