Functions 6 - Composite Functions
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Part of video series
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?
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Staff Review
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.
