Functions 8 - Composite functions

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

Writing expressions as a composite of pre-defined functions.

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

Questions answered by this video:
  • What are composite functions?
  • How do you write variable expressions as a composition of pre-defined functions?
  • If f(x) = 5x, g(x) = square root of x, and h(x) = x^2 - 3, how do you write square root of (x^2 - 3) as a composition of f, g, and h?
  • If f(x) = 5x, g(x) = square root of x, and h(x) = x^2 - 3, how do you write 25x^2 - 3 as a composition of f, g, and h?
  • If f(x) = 5x, g(x) = square root of x, and h(x) = x^2 - 3, how do you write 5x^2 - 15 as a composition of f, g, and h?
  • If f(x) = 5x, g(x) = square root of x, and h(x) = x^2 - 3, how do you write square root of 5x as a composition of f, g, and h?
  • If f(x) = 5x, g(x) = square root of x, and h(x) = x^2 - 3, how do you write x - 3 as a composition of f, g, and h?
  • If f(x) = 5x, g(x) = square root of x, and h(x) = x^2 - 3, how do you write 5*square root of x as a composition of f, g, and h?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lesson will show you how to take a variable expression or function and use some pre-defined functions to write the expression as a composition of the functions. Six different problems are shown in this lesson and the concept of going backward and coming up with the composition of functions that will result in a given expression is explained. This can be a very tricky skill to learn.