Decomposing Functions -- Tutorial

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 [Maple Math] , we can take

[Maple Math] and [Maple Math] .

We can also go with

[Maple Math] and [Maple Math] .

Usually, there is more than one correct answer.

Problem 1. Find two possible decompositions of

[Maple Math] .

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.

Answer to Problem 1.

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Problem 2. Find one decomposition of

[Maple Math] .

Answer to Problem 2.

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Problem 3. Find two possible decompositions of

[Maple Math] .

Answer to Problem 3.

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Problem 4. Find one decomposition of

[Maple Math] .

Answer to Problem 4.

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Problem 5. Find one decomposition of

[Maple Math] .

Answer to Problem 5.

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

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