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  4. Find the domain of the function f(x)= ((x2+1) /(x2-3x+3)) ?

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Q. Find the domain of the function $ f(x)= \frac {({{x}^{2}}+1)} {({{x}^{2}}-3x+3)} ? $

J & K CETJ & K CET 2014Relations and Functions

Solution:

Given, $ f(x)=\frac{{{x}^{2}}+1}{{{x}^{2}}-3x+3} $
At no point of $ R,\,\,{{x}^{2}}-3x+3=0 $
So, required domain =R