
Algebra PreAlgebra and Basic Algebra Math Forum 
 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) 
March 18th, 2017, 07:58 PM  #2 
Senior Member Joined: Sep 2015 From: CA Posts: 1,206 Thanks: 614 
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. 
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

March 18th, 2017, 09:40 PM  #4 
Senior Member Joined: Sep 2015 From: CA Posts: 1,206 Thanks: 614  
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

March 18th, 2017, 10:07 PM  #6 
Senior Member Joined: Sep 2015 From: CA Posts: 1,206 Thanks: 614  
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

March 18th, 2017, 11:18 PM  #8  
Senior Member Joined: Sep 2015 From: CA Posts: 1,206 Thanks: 614  Quote:
The inverse is not defined at $x=0$  
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 

Tags 
function, inverse 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Selfinverse 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 