# Algebra II Chp. 7 Vocabulary

## 14 terms

### 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.