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:D How do you remember rational expresssions
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may not be, after simplifying, you may loose the domain information
let me cook up some nice example..
take this funciton :- \(\large f(x) = \frac{x-1}{x^2-3x+2}\)
first, find its domain. simplify the function, and independently find the domain of that simplified function also
you will get different domains, before simplification and after. that should convince u that you lost the domain information by simplifying
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