A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Help with interval notation:
My prof. Never explained interval notation, so I don't know how to write the answers to these...
a) Determine the domain of the function f(x)= {1}{\sqrt{3 x+12}}
Domain (in interval notation):
Note: Write the answer in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter \infty as  infinity and \infty as infinity .
b) Determine the domain of the function f(x) = {4}/{x^{2}+8x} .
I know a) is all real numbers except 4, and b) should be nonzero real numbers.
anonymous
 one year ago
Help with interval notation: My prof. Never explained interval notation, so I don't know how to write the answers to these... a) Determine the domain of the function f(x)= {1}{\sqrt{3 x+12}} Domain (in interval notation): Note: Write the answer in interval notation. If the answer includes more than one interval write the intervals separated by the union symbol, U. If needed enter \infty as  infinity and \infty as infinity . b) Determine the domain of the function f(x) = {4}/{x^{2}+8x} . I know a) is all real numbers except 4, and b) should be nonzero real numbers.

This Question is Open

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0It has been a while since I've used this notation X_X, ok so your first function is \[f(x) = \frac{ 1 }{ \sqrt{3x+12} }\] so we have to solve what's under the square root for the domain \[3x+12>0 \implies x > 4\] it's greater than 0 because it's under the square root and we cannot have negative in square roots. So our interval will be \[D:(4, \infty)\] we used open brackets for 4 because we do not include it in our domain,  infinity, and infinity always have open brackets. If they were closed, it means included.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Can you explain the second one too? I know it has multiple intervals but I'm lost other than that.

Astrophysics
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x) =  \frac{ 4 }{ x^2+8x }\] is this the function?
Ask your own question
Sign UpFind more explanations on OpenStudy
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.