# VIDEO: TI-Nspire Mini-Tutorial: Composite Functions, Linear to Quartic

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a quartic. This video supports the TI-Nspire Clickpad and Touchpad.

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The following section gives background information on composite functions.

## What Are Composite Functions?

### Modeling Functions

A function machine is often used to model a function. A function machine takes an input value, x, and that results in an output value, f(x).

A composite function occurs when the output of one function is the input value for another function.

Let’s look at some examples. Here is a simple linear function.

Let’s use an input value of x = 2.

Now, let’s take this output value for f(2) and use it as an input value for this function.

Let’s evaluate this function for f(2).

Here’s another way of writing g(f(x)).

With this function the original input value of x = 2 results in the same output.

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Common Core Standards CCSS.MATH.CONTENT.HSF.IF.C.7.C, CCSS.MATH.CONTENT.HSF.BF.A.1.C, CCSS.MATH.CONTENT.HSF.BF.B.3 1.00 minutes 6 - 12 Algebra     • Functions and Relations         • Composite Functions 2009 TI-Nspire, Nspire, TINspire, composition of functions