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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: USA Posts: 2,496 Thanks: 1371 
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: USA Posts: 2,496 Thanks: 1371  
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: USA Posts: 2,496 Thanks: 1371  
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: USA Posts: 2,496 Thanks: 1371  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 

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