12 videos in "Composite Functions"
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Functions 6 - Composite Functions
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Functions 7 - Composite functions
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Functions 8 - Composite functions
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Evaluating a Function
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Addition of functions
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Multiplication of Functions
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Composition of Functions
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Solving the Composition of Two Functions
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Adding and Subtracting Functions
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Composition of Functions
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Combining Functions
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Using Operations to Combine Rational Functions
Functions 8 - Composite functions
Functions 8 - Composite functions
585 views - 00:08:40
Part of video series Relations and Functions
More free YouTube videos by Julie Harland are organized at http://yourmathgal.com
Writing expressions as a composite of pre-defined functions.
- 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?
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.
