My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Thanks Tree5Thanks
  • 2 Post By romsek
  • 1 Post By romsek
  • 1 Post By romsek
  • 1 Post By romsek
Reply
 
LinkBack Thread Tools Display Modes
March 18th, 2017, 07:48 PM   #1
Member
 
Joined: Mar 2017
From: Tasmania

Posts: 36
Thanks: 2

Inverse function

Question 2
a) Given the graph below, on the same set of axes draw the inverse of the function shown.(3 marks)

https://gyazo.com/e740c5ec17079d649309de1c0ea29113
click the gyazo link to see diagram

b) Is the inverse a function? Provide an explanation. (2 marks)
Posher is offline  
 
March 18th, 2017, 07:58 PM   #2
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: CA

Posts: 1,238
Thanks: 637

in your function $[-2,0]$ all maps to the value 0.

Functions that have inverses must be injective, i.e they must be one to one.

The function shown has no inverse.
Thanks from topsquark and Posher
romsek is online now  
March 18th, 2017, 09:31 PM   #3
Member
 
Joined: Mar 2017
From: Tasmania

Posts: 36
Thanks: 2

romsek can you draw in a for me just so I can see I got it right
Posher is offline  
March 18th, 2017, 09:40 PM   #4
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: CA

Posts: 1,238
Thanks: 637

Quote:
Originally Posted by Posher View Post
romsek can you draw in a for me just so I can see I got it right
I don't understand what you are asking.

Draw in a ... what?
Thanks from Posher
romsek is online now  
March 18th, 2017, 09:48 PM   #5
Member
 
Joined: Mar 2017
From: Tasmania

Posts: 36
Thanks: 2

@romsek if you click the gyazo it shows you a graph and you need to draw the inverse of it
Posher is offline  
March 18th, 2017, 10:07 PM   #6
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: CA

Posts: 1,238
Thanks: 637

Quote:
Originally Posted by Posher View Post
@romsek if you click the gyazo it shows you a graph and you need to draw the inverse of it
I told you it doesn't have an inverse.
Thanks from Posher
romsek is online now  
March 18th, 2017, 10:50 PM   #7
Member
 
Joined: Mar 2017
From: Tasmania

Posts: 36
Thanks: 2

yes but you are still required inverse even if it does not ie swap the value around to make another line
Posher is offline  
March 18th, 2017, 11:18 PM   #8
Senior Member
 
romsek's Avatar
 
Joined: Sep 2015
From: CA

Posts: 1,238
Thanks: 637

Quote:
Originally Posted by Posher View Post
yes but you are still required inverse even if it does not ie swap the value around to make another line
well here

The inverse is not defined at $x=0$

Attached Images
File Type: jpg Clipboard01.jpg (24.1 KB, 5 views)
Thanks from Posher
romsek is online now  
March 18th, 2017, 11:55 PM   #9
Member
 
Joined: Mar 2017
From: Tasmania

Posts: 36
Thanks: 2

thanks romsek could you check out my physics question on the physics tab also I'll give you my thanks
Posher is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
function, inverse



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Self-inverse function med1student Algebra 8 December 23rd, 2015 03:21 PM
Inverse function of a differentiable function WWRtelescoping Calculus 2 September 2nd, 2014 04:57 AM
Find all linear function given a function equals its inverse deSitter Algebra 4 April 10th, 2013 01:17 PM
inverse function of a multivariable function rayman Real Analysis 3 February 24th, 2013 09:17 AM
find inverse of inverse function jaredbeach Algebra 1 November 17th, 2011 12:58 PM





Copyright © 2017 My Math Forum. All rights reserved.