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Rational functions are of the form
r(x) = f(x)/g(x).
Where f(x) and g(x) are polynomial functions .
Since g(x) is in the denominator,
Domain of r(x) is where g(x)≠ 0
For example
If r(x) = 1/x
then, Domain of r(x) is all real numbers except 0
So, r(x) is defined from R – {0} –> R
Let us discuss r(x) = 1/x in the next question
