Algebra II Chp. 7 Vocabulary
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14 terms
Terms | Definitions |
|---|---|
 Composite of Functions | A 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 f(g), and [f(g)](x)=f[g(x)]. |
| Conjugates | Binomials of the form a(square root of b)+c(square root of d) and a(square root of b)-c(square root of d), where a, b, c, and d are rational numbers. |
| Extraneous Solution | A number that does not satisfy the original equation. |
| Identity Function | The function I(x)=x. |
| Inverse Function | Two functions f and g are in inverse functions if and only it both of their compositions are the identity function. |
| Like Radical Expressions | Two radical expressions in which both the radicands and indices are alike. |
| nth Root | For any real numbers a and b, and any positive integer, if a^n=b, then a is an nth root of b. |
| One-To-One | 1. A function where each element of the range is paired with exactly one element of the domain. 2. A function whose inverse is a function. |
| Principal Root | The nonnegative root. |
| Radical Equation | An equation with radicals that have variables in the radicand. |
| Radical Inequality | An inequality that has a variable in the radicand. |
| Rationalizing the Denominator | To eliminate radicals from a denominator or fractions from a radicand. |
| Square Root Function | A function that contains a square root of a variable. |
| Square Root Inequality | An inequality involving square roots. |
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