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Restrictions on domain (1 Viewer)

deswa1

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Hey guys,



For this question, obviously f(x) is undefined at x=-2 and when you work out the inverse function, it ends up being f(x)=2x/(1-x) which is undefined at x=1. So when you write the domain for part vi), is the domain all real x except x=1 or all real x except x=1,-2 as -2 isn't defined in the original domain? Or do we treat the inverse as an entirely new function so its just undefined for x=1?
 

john-doe

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the domain of original doesnt affect the domain of the inverse as it translates to range of the new function...so if asked about the domain of inverse function, i think you consider it as new function...also if you put x=-2 in the new function, it will give you a definite answer implying that number is in the domain!
 

deswa1

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the domain of original doesnt affect the domain of the inverse as it translates to range of the new function...so if asked about the domain of inverse function, i think you consider it as new function...also if you put x=-2 in the new function, it will give you a definite answer implying that number is in the domain!
Ok thanks :)
 
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Cash in on 8 marks?? Or were there more parts haha
 

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