1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    lanedance

    User Avatar
    Homework Helper

    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

    lanedance

    User Avatar
    Homework Helper

    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]
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Finding the domain of a composite function
Loading...