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    rorymckeague's Avatar
    rorymckeague Posts: 8, Reputation: 1
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    #1

    Apr 16, 2012, 06:52 AM
    If y= x-1 1/ (x-1), does y have a real between -2 and 2?
    If

    show that y can't have a real value between -2 and 2?
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Apr 17, 2012, 05:43 AM
    Suggest that you set up an equation that gives x as a function of y. Start by multiplying through by (x-1), rearrange, and you'll get a quadratic in x. Use the quadratic equation to solve for values of x given any y, and it will have a term that includes . So |y| can not be less than 2.
    rorymckeague's Avatar
    rorymckeague Posts: 8, Reputation: 1
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    #3

    Apr 17, 2012, 11:38 AM
    Once again thank you for your help
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