domainthe set of all possible inputs of a function which allow the function to work
excluded valuea value for a variable that is not allowed in an expression, such as a variable in a rational expression that would make the denominator equal zero
extraneous solutiona solution that results from solving an equation that is not a valid solution in the original equation
rational equationan equation that contains one or more rational expressions
rational expressiona fraction with a polynomial in the numerator and/or denominator