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!

Domain of composite function

  1. Dec 23, 2013 #1
    Let's say f(x) = sqrt(x-1)
    And g(x) =x^2

    What is the domain of f(g(x))

    Well the domain of g(x) is all real numbers and the equation for the new function is sqrt(x^2-1)

    Am I right to say that the domain for f(g(x)) is x greater than or equal to 1 and less than and equal to -1??
     
  2. jcsd
  3. Dec 23, 2013 #2

    Mark44

    Staff: Mentor

    Yes. In a bit nicer form it is ##\{x | x \leq -1 \cup x \geq 1\}##.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Domain of composite function
Loading...