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!

Homework Help: Interval Notation Problem

  1. Sep 4, 2013 #1


    User Avatar
    Gold Member

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

    http://i.minus.com/jbiWoIFy45kCgV.png [Broken]

    2. Relevant equations

    The denominator of a function cannot equal 0. Both the numerator and denominator also cannot = 0 simultaneously.

    3. The attempt at a solution

    For the first problem, the denominator and the numerator are 0 when x =0. Hence, I excluded it from the domain. Similarly, for the second problem, the denominator is 0 when x = -8. It is also excluded from the domain. Am I missing something?
    Last edited by a moderator: May 6, 2017
  2. jcsd
  3. Sep 4, 2013 #2


    User Avatar
    Science Advisor
    Homework Helper

    Yes, a little. You can't just look at the final formula. Take the first one. g(x) is undefined at x=(-1). If g(-1) is undefined then f(g(-1)) isn't defined either.
    Last edited by a moderator: May 6, 2017
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted