# Composition of Functions

Taught by mrbrianmclogan
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Part of video series
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Lesson Summary:

In this lesson, we learn about the composition of two functions, which involves plugging one function into another function. We delve into evaluating f of g of x and g of f of x, and simplifying the functions. While the square root and square of a number cancel each other out, we can't separate terms when adding or subtracting functions. Overall, composition of functions allows us to manipulate and simplify expressions in a variety of ways.

Lesson Description:

Finding the composition of two functions

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• How do I find the composition of two functions?
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The instructor gives an example of two functions, f and g. He then shows how to find the composition of the functions, f(g(x)) and g(f(x)).