Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Open

blockcolderBest ResponseYou've already chosen the best response.1
\[\text{dom}(g(h(x))=\text{range}(h(x))\cap \text{dom}(g(x))\] In other words, what are the common elements in the range of h and the domain of g?
 one year ago

imagreencatBest ResponseYou've already chosen the best response.0
Well, get the domain of h(x) first. Since x is in the radical sign and we don't want any negative numbers in there for even indices (e.g. 2), the domain of h(x) is x>=0. For g(x), it is actually the set of real numbers, since it is a polynomial. So there isn't any case for g(x). Therefore, the only condition is for x to be >=0. So the domain of h(g(x)) is x>=0.
 one year ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.