Composition of Functions

Presentation

•

Mathematics

•

11th Grade

•

Hard

Irene Cagara

Used 18+ times

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14 Slides • 0 Questions

Opening Prayer

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Objectives:

I can recognize notation for function composition.
I can form a composite function using two given functions.
I can evaluate a composite function.
I can give situations where composite functions can be applied.

F(x)

G(x)

F[G(x)]

G[F(x)]

The function as a machine...

Definition

The process of obtaining a composite function is called function composition.

Example:

You may need to evaluate a composite function for a particular value of x.

1. Find and simplify (g o f)(x).

2. Find and simplify (q o f)(x). Is it the same with (q o f)(x)? 3. Find and simplify (f o r)(x).

4. Find and simplify (F o r)(5).

Essential Questions:

1. How do you define composite functions?

2. How are they different from functions?

Opening Prayer

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