Hey! Sign in to get help with your study questionsNew here? Join for free to post

Can you solve it?

Announcements Posted on
Talking about ISA/EMPA specifics is against our guidelines - read more here 28-04-2016
  1. Offline

    ReputationRep:
    Click image for larger version. 

Name:	question.jpg 
Views:	227 
Size:	130.7 KB 
ID:	142539
  2. Offline

    Yes, I can. But I'm not just going to give you the answer - show your working.

    Edit: When I posted this I wasn't anticipating that others would 'join in' - I'm actually trying to help, so if you post your working I'll let you know where you're going wrong or give you some pokes in the right direction.
  3. Offline

    ReputationRep:
    Is this something like a questionnaire? I think I can solve it.
  4. Offline

    ReputationRep:
    No
  5. Offline

    ReputationRep:
    No
  6. Offline

    ReputationRep:
    I can, however nuodai summed it up quite well
  7. Offline

    ReputationRep:
    Yeah I can.
  8. Offline

    ReputationRep:
    Yep, but it would ruin the fun of Maths for you if I did it, wouldn't it?
  9. Offline

    ReputationRep:
    (Original post by nuodai)
    Yes, I can. But I'm not just going to give you the answer - show your working.

    Edit: When I posted this I wasn't anticipating that others would 'join in' - I'm actually trying to help, so if you post your working I'll let you know where you're going wrong or give you some pokes in the right direction.
    (a) f(x) = (1-x^2)^1/2 & f(x) = -((1-x^2)^1/2)
    (b) no function exists with such a property
    (c) Click image for larger version. 

Name:	c part.jpg 
Views:	53 
Size:	72.9 KB 
ID:	142578
  10. Offline

    (Original post by math1234)
    (a) f(x) = (1-x^2)^1/2 & f(x) = -((1-x^2)^1/2)
    (b) no function exists with such a property
    (c) Click image for larger version. 

Name:	c part.jpg 
Views:	53 
Size:	72.9 KB 
ID:	142578
    Your answers for (a) and (b) are correct from what I can tell. But I don't understand your solution to (c); what is g(x), for instance?
  11. Offline

    ReputationRep:
    (Original post by nuodai)
    Your answers for (a) and (b) are correct from what I can tell. But I don't understand your solution to (c); what is g(x), for instance?
    Click image for larger version. 

Name:	dia c part.jpg 
Views:	32 
Size:	26.8 KB 
ID:	142579
    g_1, g_2, g_3 = g_i
    g(f(x))=x
  12. Offline

    ReputationRep:
    why not you guys are now making fun of my post?(except nuodai) the reason is because you don't understand this question.
  13. Offline

    (Original post by math1234)
    Click image for larger version. 

Name:	dia c part.jpg 
Views:	32 
Size:	26.8 KB 
ID:	142579
    g_1, g_2, g_3 = g_i
    g(f(x))=x
    Right, so it's a piecewise inverse to the cubic. That's right.

    Your answers all seem fine. Where were you having problems?
  14. Offline

    ReputationRep:
    (Original post by nuodai)
    Right, so it's a piecewise inverse to the cubic. That's right.

    Your answers all seem fine. Where were you having problems?
    how can we find y=f_i (x) =g_i^-1 (x) explicitly? & on what intervals g are one-one contained: (-infinity, -1) or (-1, 1) or (1, infinity)?

Reply

Submit reply

Register

Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. Oops, you need to agree to our Ts&Cs to register
  2. Slide to join now Processing…

Updated: April 18, 2012
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Today on TSR

How to predict exam questions

No crystal ball required

Poll
How will you be voting in the EU referendum?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read here first

Equations

How to use LaTex

Writing equations the easy way

Student revising

Study habits of A* students

Top tips from students who have already aced their exams

Study Planner

Create your own Study Planner

Never miss a deadline again

Polling station sign

Thinking about a maths degree?

Chat with other maths applicants

Can you help? Study help unanswered threads

Groups associated with this forum:

View associated groups
Study resources
Quick reply
Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.