Functions 6 - Composite Functions

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Taught by YourMathGal
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Part of video series
Meets NCTM Standards:
Lesson Description:

Part 6 of Functions; covers the algebra of functions and its notation and composite functions.

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
  • 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?
  • Staff Review

    • Currently 4.0/5 Stars.
    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.