**Decomposing Functions -- Tutorial**
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In each of the problems below, for a given function h(x) find its decomposition into simpler functions:

h(x)=f(g(x)) .

**Example.**
** **
For
, we can take

and .

We can also go with

and .

Usually, there is more than one correct answer.

**Problem 1.**
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Find two possible decompositions of

.

Click below to see the answer. Make the answer window smaller by clicking on the middle icon of its upper right corner. To close the answer window and get back to the quiz, click on the X in the upper right corner of the answer window. Close one answer window before opening another.

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**Answer to Problem 1.**

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**Problem 2.**
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Find one decomposition of

.

** **
**Answer to Problem 2.**

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**Problem 3.**
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Find two possible decompositions of

.

** **
**Answer to Problem 3.**

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**Problem 4.**
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Find one decomposition of

.

** **
**Answer to Problem 4. **

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**Problem 5. **
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Find one decomposition of

.

** **
**Answer to Problem 5.**

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*MTH 111 Quizzes and Tutorials, B. Kaskosz and L.
Pakula, 2001.*

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