Login

Welcome, Guest. Please login or register.

February 17, 2026, 02:48:58 am

Author Topic: Bazza's 3/4 Question Thread  (Read 37339 times)  Share 

0 Members and 1 Guest are viewing this topic.

pi

  • Honorary Moderator
  • Great Wonder of ATAR Notes
  • *******
  • Posts: 14348
  • Doctor.
  • Respect: +2376
Re: Bazza's 3/4 Question Thread
« Reply #225 on: November 11, 2012, 03:18:03 pm »
0
1) On a Cartesian plane (and that is the important part), I think the domain would be [-1, 1]. Isn't it just a reflection in y=x, ie. inverse (albeit not a one-to-one function so not a proper inverse)?

2) As per other thread. I wouldn't do it. But if you had already define x=... it should be ok. Play it safe.

« Last Edit: November 11, 2012, 03:20:11 pm by ρнуѕικѕ ♥ »

brightsky

  • Victorian
  • ATAR Notes Legend
  • *******
  • Posts: 3136
  • Respect: +200
Re: Bazza's 3/4 Question Thread
« Reply #226 on: November 11, 2012, 03:19:00 pm »
0
1) x=cosy is the inverse relation of y=cosx. so it has domain [-1,1] and range R. domain is always the 'range' of independent values.

2) don't see any problem with that. although i'd err on the side of caution and just write everything in terms of y, i.e. write x(y).
2020 - 2021: Master of Public Health, The University of Sydney
2017 - 2020: Doctor of Medicine, The University of Melbourne
2014 - 2016: Bachelor of Biomedicine, The University of Melbourne
2013 ATAR: 99.95

Currently selling copies of the VCE Chinese Exam Revision Book and UMEP Maths Exam Revision Book, and accepting students for Maths Methods and Specialist Maths Tutoring in 2020!