a ractional function
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Yes. Rational functions must contain rational expressions in order to be rational.
A rational expression is an expression that contains a radical, i.e., a root.
Another rational expression.
Yes.
If one of the denominators becomes equal to zero when checking a solution for a rational expression, it means that the expression is undefined at that point. This is because division by zero is not defined in mathematics. Therefore, the solution you found is not valid for that rational expression.