Objectives

Students will use composition of functions to compose linear, quadratic, rational, and radical functions using (a) addition, (b) subtraction, (c) multiplication, (d) division, and (e) substitution.

Additional Web Resources

http://www.mathsisfun.com/sets/functions-composition.html        This is great for visual learners!!  Pay attention to how one function is put into the other function. 

http://www.regentsprep.org/Regents/math/algtrig/ATP7/compositionfunctions.htm    Another great visual lesson learners.  Great step by step instructions. 

Lesson Instructional Video

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During this lesson you need to pay attention to the following topics.

1.  Functions f(x) and g(x)

2.  Substitution of the function expression
     for f(x) and g(x)

3.  How do you substitute the expression
     for f(x) and g(x)

4.  Make parenthesis around the expression 
      for f(x) and g(x)

5.  Pay attention to the comments in the upper
     right hand corners



      

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During this lesson you need to pay attention to the following topics.

1.  How the previous video applies to this video

2.  Think about how composing rational and
     radical functions does not change the
     properties of composing functions, but it
     does add some extra steps to the
     problems.  What are these extra steps?

 3.  Pay attention to the comments in the upper 
      right hand corner of each slide.

4. Answer the following questions:
     a.  What must you have when adding or
          subtracting rational functions?
     b.  What must you do to radical functions
          either before or after composing the
          functions?