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Homework Help: Finding the domain of a composite function

  1. Sep 21, 2011 #1
    1. The problem statement, all variables and given/known data

    I started out with f(x)=sinx and g(x)=1-√x. I found f(g(x)) which is sin(1-√x) and now my problem is how to find the domain. I've really been struggling with the domain part and just need this one done step by step so i have an idea of how to actually do it.

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Sep 21, 2011 #2


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    start with finding the domain of g(x) and f(x)
  4. Sep 22, 2011 #3
    If I knew how to get the domain I would but I'm having trouble with the domain for both parts.
  5. Sep 22, 2011 #4


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    ok so whats your definition of domain?

    Unless it is defined otherwise, I would informally interpret it as the region of input variable over which the function is valid

    lets start with an easy but relevant example, what is the valid domain of [\itex]\mathbb{R} [/itex], for the function [\itex]h(x) = \sqrt{x}[/itex]
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