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Calculus Problem, Finding the Inverse of a function

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

    http://img17.imageshack.us/img17/4413/asasasasas.jpg [Broken]

    2. Relevant equations
    let t = e^x.


    3. The attempt at a solution


    f(x) = sqrt(ln(x))

    f_inv(x) = exp(x^2)


    is that it? Nothing more to it?
     
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Apr 1, 2009 #2

    Mark44

    Staff: Mentor

    I don't see anything wrong with your work. You can check to see that f-1(f(x)) = f(f-1(x)) = x.
     
  4. Apr 1, 2009 #3

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    I wish you would NOT say "let [itex]t= e^x[/itex]" and then write "f(x)= sqrt(ln(x))" when you mean "f(t)= sqrt(ln(t))"!
     
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