A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
I need help in finding the range of the following function:
arcsin(3x+1)
For finding the domain I did the following...
1 </= 3x + 1 </= 1
then I solved both sides of the inequality separately to get
2/3 </= x </= 0
Please correct me if I'm wrong :)
*by "</=" I mean "less than or equal to".
anonymous
 one year ago
I need help in finding the range of the following function: arcsin(3x+1) For finding the domain I did the following... 1 </= 3x + 1 </= 1 then I solved both sides of the inequality separately to get 2/3 </= x </= 0 Please correct me if I'm wrong :) *by "</=" I mean "less than or equal to".

This Question is Closed

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0yup, looks good to me! great job ~

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Great! Thanks @Vocaloid :) Ant ideas on how to find the range?

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0Hm, that's a bit trickier, I suppose you could evaluate arcsin(2/3) and arcsin(0), but I'm sure there's a better way, let me think about this one for a second

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Alrighty! :D Thanks so much!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think the range of arcsin x is always π/2 ≤ y ≤ π/2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait would it be pi/2  3pi/2 ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0I think you meant to say this for the domain \[\Large 1 \le 3x{\color{red}+}1 \le 1\] and you solve for x from there

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.0yes, peachpi is right, silly me!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 you caught my typo again >.<

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0but you have the correct result after you isolate x \[\Large \frac{2}{3} \le x \le 0\] is the correct domain

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 okay so would be correct to find the range by just plugging in 2/3 and 0 ?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0yep, plugging in x = 2/3 will give pi/2 which is the lowest you can go in the range plugging in x = 0 will give pi/2 which is the highest you can go in the range
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.