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Basic function question

  1. May 21, 2009 #1
    1. The problem statement, all variables and given/known data
    I'm not sure what I'm doing wrong here.


    2. Relevant equations
    f(t) = t/(t+1)2 find f(1/t)


    3. The attempt at a solution
    f(1/t) = 1/(t/(t+1)2)

    = ((t+1)2)/t

    = (t2 + 2t +1)/t


    The answer in my book says it's t/(t+1)2, the original function. Is this an error?
     
  2. jcsd
  3. May 21, 2009 #2

    tiny-tim

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    Hi greenneub! :smile:
    No, that's 1/f(t) …

    you want f(x) where x = 1/t …

    in other words, replace t by 1/t everywhere it occurs in t/(t+1)2 :wink:
     
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