I have a small question:
Can one state that $$f(x) = \frac{1}{x}$$ is a rational function because it is the quotient between a polynomial with degree 0 and a polynomial with degree 1?
Thank you.
2026-03-25 14:06:04.1774447564
The definition of a rational function and $f(x) = {1}/{x}$
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Yes, that is true.
The rational functions is the field of fractions of the ring of polynomials. $x$ is a polynomial, so $x^{-1}$ is in the field of fractions.