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Inverse of x+2e(x)

  1. Oct 22, 2009 #1
    1. The problem statement, all variables and given/known data

    Let f(x)=x+2e(x). Find the inverse of f(x).

    2. Relevant equations

    e(a+b)=e(a)*e(b)
    e(a-b)=e(a)/e(b)
    ln(ab)=ln(a)+ln(b)
    ln(a/b)=ln(a)-ln(b)
    ln(a^b)=bln(a)

    3. The attempt at a solution

    Switch y and x so that
    x=y+2e(y)
    I tried applying ln to the functions at the start, subtracting y and then applying ln, applying ^2 to both sides but nothing seems to come of it. Any first suggestions?
     
  2. jcsd
  3. Oct 22, 2009 #2

    LCKurtz

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    Science Advisor
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    Gold Member

    There is no "elementary algebra" way to solve that last equation for y.
     
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