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VIDEO: Ti-Nspire Mini-Tutorial, Video 46

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

In this TI Nspire tutorial for the TI-Nspire CAS, we explore mapping one linear function to a rational function. 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.

### This is part of a collection of video tutorials on using the TI-Nspire graphing calculator. To see the complete collection of the videos, __click on this link.__

__click on this link.__

### Note: The download is an MP4 video file.

## Companion Worksheets

### Many of these tutorial videos include companion worksheet. To see the complete collection of these worksheets, __click on this link.__

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## Related Resources

### To see additional resources on this topic, click on the Related Resources tab.

## Video Library

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Common Core Standards | CCSS.MATH.CONTENT.HSF.BF.A.1.C, CCSS.MATH.CONTENT.HSF.BF.B.3 |
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Duration | 1.00 minutes |

Grade Range | 6 - 12 |

Curriculum Nodes |
Algebra• Functions and Relations• Composite Functions |

Copyright Year | 2009 |

Keywords | TI-Nspire, Nspire, TINspire, composition of functions |