21 videos in "Composite Functions"

Functions 6  Composite Functions

Functions 7  Composite functions

Functions 8  Composite functions

Evaluating a Function

Addition of functions

Multiplication of Functions

Composition of Functions

Solving the Composition of Two Functions

Adding and Subtracting Functions

Composition of Functions

Combining Functions

Quotient of Functions

Subtraction of Functions

Subtraction of Functions

Subtraction of Functions

Composition of Functions

Composition of Functions with Rational Exponents

Composition of Functions

Using Operations to Combine Rational Functions

Evaluating the Composition of Two Functions

Adding Functions
Functions 6  Composite Functions
Functions 6  Composite Functions
9042 views, 1 rating  00:09:30
Part of video series Relations and Functions
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
(
download video
)
Part 6 of Functions; covers the algebra of functions and its notation and composite functions.
 What is function notation?
 What are composite functions and how do you compute values for composite functions?
 If f(x) = x^2  9 and g(x) = x + 3, what is (f + g)(x)?
 If f(x) = x^2  9 and g(x) = x + 3, what is (f  g)(x)?
 If f(x) = x^2  9 and g(x) = x + 3, what is (f * g)(x)?
 If f(x) = x^2  9 and g(x) = x + 3, what is (f / g)(x)?
 If f(x) = x^2  9 and g(x) = x + 3, what is (g  f)(x)?
 If f(x) = x^2  9 and g(x) = x + 3, what is (g / f)(x)?
 If f(x) = x^2  9 and g(x) = x + 3, what is (f o g)(x)?
 If f(x) = x^2  9 and g(x) = x + 3, what is (g o f)(x)?
 How do you add, subtract, multiply, and divide functions?
This lesson introduces a new notation for adding, subtracting, multiplying, and dividing functions. Also, composites of functions are introduced and computed for two functions. All steps for computing / simplifying these polynomial expressions are shown.