Functions 6 - Composite Functions

In this lesson on composite functions, we learn about new notation for algebraic operations on functions and how to define composite functions. The video covers four practice problems involving adding, subtracting, multiplying, and dividing functions. We also learn how to find composite functions, including the use of a circle between the two functions, and complete two additional practice problems. The lesson ends with a reminder that the original functions must be taken into account when dealing with composite functions.

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

• 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?