**TI83F* AppVariable file 03/21/07, 14:37J 9GLA20797nav 26CE319875DD4F1B9DFDCB650E5220B1GLA207.GLA2071  composition of functionsÆcomposition of functions:ÖA function is performed, and then a second function is performed on the result of the first function. The composition of f and g is denoted by fg, and ÖÁfg]Áx] = fÁgÁx]]. conjugate of a binomialNconjugate of a binomial:ÖThe conjugate of the binomial ab + cd isÖab - cd. extraneous solutionsNextraneous solutions:ÖResults that are not solutions to the original equation. inverse functions¬inverse functions:ÖTwo functions f and g are inverse functions if and only if both of their compositions are the identity function. Áfg](x) = Ágf](x) for all values of x. inverse of a relationqinverse of a relation:ÖThe inverse of any relation is obtained by switching the coordinates in each ordered pair. nth rootžnth root:ÖFor any real numbers a and b, and any positive integer n, if a^n = b, then a is an nth root of b.ÖExample: 2 is the fifth root of 32 since 2^5 = 32. one-to-one functionŸone-to-one function:Ö1. A function where each element of the range is paired with exactly one element of the domain.Ö2. A function whose inverse is a function. principal square root?principal square root:ÖThe nonnegative square root of a number.  radical equationcradical equation:ÖAn equation that contains a radical expression with the variable in the radicand.  radical inequalitygradical inequality:ÖAn inequality that contains a radical expression with the variable in the radicand.!