Thee basic concept is that an rational function is one polynomial divided by another polynomial. The coefficients of these polynomials need not be rational numbers.
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Yes. Rational functions must contain rational expressions in order to be rational.
y = cuberoot(x) for real x is not a rational function.
A rational function is the quotient of two polynomial functions.
The domain of a rational function is the whole of the real numbers except those points where the denominator of the rational function, simplified if possible, is zero.
a rational function.