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Composite Function

  1. Sep 12, 2009 #1
    1. The problem statement, all variables and given/known data
    http://img171.imageshack.us/img171/543/pro3.png [Broken]

    3. The attempt at a solution
    [tex]= f(g(h(x)))[/tex]
    [tex]= f(g(\sqrt{x+3}))[/tex]
    [tex]= f(cos\sqrt{x+3})[/tex]
    [tex]= \frac{2}{cos\sqrt{x+3}+1}[/tex]

    Is this right, and am I showing enough work to get full marks? Do I need restrictions for example?
    Last edited by a moderator: May 4, 2017
  2. jcsd
  3. Sep 12, 2009 #2
    It's correct and looks fine. What do you mean by restrictions?
  4. Sep 12, 2009 #3
    I meant by the restrictions on x.
  5. Sep 12, 2009 #4
    So you mean giving the (restricted) domain. You shouldn't have to include that, unless it will make you feel better by doing so. :smile: I wouldn't since the question didn't ask, and finding the domain for this one is a little involved.
  6. Sep 12, 2009 #5
    Alright, I'll stick with what I have. Thanks for the help. :)
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