# Functions 7 - Composite functions

Taught by YourMathGal
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Lesson Summary:

In this seventh installment of Functions, you'll discover how to compute the value of composite functions, using examples with f(x), g(x), and h(x). By understanding the definition and notation of composite functions, you can figure out what g of negative 2 is or find the value of h of f of negative 5. Through hands-on exercises, you'll learn how to combine the different functions, calculate the square root of x, and use the distributive property to add like terms. You'll also see how solving f of g of x yields the same answer as plugging in a particular number.

Lesson Description:

Learn how to compute the value of composite functions.

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

Questions answered by this video:
• What is (f o g)(-2) if f(x) = x^2 - 3x + 5, g(x) = -4x + 1, and h(x) = square root of x?
• What is (h o g)(-2) if f(x) = x^2 - 3x + 5, g(x) = -4x + 1, and h(x) = square root of x?
• What is (g o f)(4) if f(x) = x^2 - 3x + 5, g(x) = -4x + 1, and h(x) = square root of x?
• What is (h o f)(-5) if f(x) = x^2 - 3x + 5, g(x) = -4x + 1, and h(x) = square root of x?
• What is (f o g)(x) if f(x) = x^2 - 3x + 5, g(x) = -4x + 1, and h(x) = square root of x?
• How do you compute the value of composite functions?
• How do you know which function to compute first in a composite function?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson shows how to do some computations with composite functions. Five different problems are shown using the same 3 functions and evaluating the composite of the functions in different orders. This is a great composite function tutorial with some very complete examples.