When you are done with this
section, you will be able to do the following:
Find the sum, difference, product, and quotient
of functions
Find the composition of two functions
Determine the domain of two combined functions
Determine the functions which have been composed to make up a given functio
Solve real life problems involving
the combination (addition,
subtraction, multiplication, division, and/or composition) of two
functions
Sum, Difference, Production and Quotient of Functions
On-line Notes:
Additonal Sum,
Difference, Production and Quotient of Functions
On-line Resources:
Composition of
Functions On-line Notes:
Additional Composition
of Functions On-line
Resources:
Purplemath - Your Algebra Resource: Composition of Functions Lesson I
Purplemath - Your Algebra Resource: Composition of Functions Lesson II
Purplemath - Your Algebra Resource: Composition of Functions Lesson III
Experiment and Explore Mathematics: Tutorial on Composition of Functions
Applications
of Algebra of Functions
On-line Notes:
Additional Applications
of Algebra of Functions On-line
Resources:
Algebra of Functions Homework:
The Algebra
of Functions Homework contains 5 problems.Things to remember:
The symbol o between the function names indicates composition not multiplication.
When using a graphs to
answer
questions about a function, you are going to need to find the y
value that is associated with the x value that you are
given. For example, f(2) means go to 2 on the x-axis
and then go up or down until you run into the f graph. f(2)
is the y value of that point.
Homework examples:
Keep in mind that it is recommended that you
also complete all the
problems in the set called "also
recommended" with the same number as the Algebra of Functions Homework. There are
many different ways to ask the same questions. This will allow
you to see additional problems that are related to this topic.