Friday, January 21, 2011

Chapter 1 Lesson D: Compile Functions

Given f:x ---> f(x) and g:x ---> g(x) the composite function of f and g will convert x into f(g(x))
  • f.g is used to represent the composite function of f and g. It means "f following g".
  • (f.g) = f(g(x)) / f.g: x---> f(g(x))
Example:
  • f: x ---> 2x + 1 and g: x ---> 3-4x find in simplest form.
    • a. (f.g)(x) so f(x) = 2x+1 and g(x) = 3-4x
    • f(g(x)) = 2(3-4x)+1 = 6-8x+1 = 7-8x
  • g(f(x)) = 3-4(2x+1) = 3-8x-4     -8x-1

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