let be a function [tex] y=f(x) [/tex] with poles [tex] f(a_{i} ) = \infty [/tex] for some real 'a'(adsbygoogle = window.adsbygoogle || []).push({});

my question is if we define the inverse function g(x) so [tex] g(f(x))=x [/tex] ,then is this true

[tex] g(\infty)=a_{i} [/tex] my question is that it seems that g(x) would have several asymptotes as x-->oo how it can be ??

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# Inverse function and poles

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