# Video Transcript: TI-Nspire Mini-Tutorial: Composite Functions, Linear to Trigonometric

## 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.

This is the transcript for the TI-Nspire Mini-Tutorial entitled, Composite Functions, Linear to Trigonometric.

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Common Core Standards CCSS.MATH.CONTENT.HSF.BF.A.1.C, CCSS.MATH.CONTENT.HSF.BF.B.3 1 minutes 6 - 12 Algebra     • Functions and Relations         • Composite Functions 2020 TI-Nspire, Nspire, TINspire, composition of functions