Algebra and Trigonometry: Chapter 6 - Exponential and Logarithmic Functions

These flashcards cover key concepts related to composite functions and their domains as outlined in Chapter 6 of Algebra and Trigonometry.

Composite Function

A function formed by combining two functions, such that the output of one function becomes the input of another.

Domain of a Composite Function

The set of all numbers x in the domain of g for which the output of g is in the domain of f.

Evaluating a Composite Function

The process of finding the composite function's value by substituting inputs through the composed functions.

Real Numbers

All numbers on the number line, including both rational and irrational numbers.

Exclusion from Domain

Specific values that cannot be included in the domain of a function due to restrictions, such as division by zero.

Function Composition

The application of one function to the results of another, typically denoted as f(g(x)).

Distributive Property

A property indicating that a(b + c) = ab + ac, used to simplify expressions in algebra.

Reciprocal Function

A function that outputs the multiplicative inverse of the input value.

Composite Functions Equality

The condition when two composite functions produce the same output for every input x in their domain.

Finding the Domain

The process of determining the set of input values for which a given function is defined.