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Math Help - rational Function

  1. #1
    Junior Member Dragon's Avatar
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    rational Function

    A rational Function g(x)=a/(b+x) such that g(x)= (2x-2)/<br />
(x^2+x-2) wherever f is defined. Find the values of a and b
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  2. #2
    Junior Member
    Joined
    Nov 2008
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    rational Function

    Note that

    (a) 2X-2 = 2 (X-1)

    and that

    (b) X^2 + X - 2 = (X+2) * (X-1)

    Since your function is (a) / (b), the (X-1) terms cancel, leaving you with the fraction 2 / (X+2), which you need to equate to a / (X+b).

    So if I did the math right, it looks like a = b= 2.

    - Steve J
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