Question
Asked Jan 12, 2020
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When is it possible to compose one function with another? Give examples of compositions and their values at various points. Does the order in which functions are composed ever matter?

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Expert Answer

Step 1

A new function can be created by combining the two pre-exist functions. This new function can be formed with the help of exist function by means of addition, subtraction, multiplication, divide etc. and by other rule of formation.

For example:

Calculus homework question answer, step 1, image 1
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Step 2

Let two functions as

f(x) = 2x + 3;

g(x) = x2

The Compositions possible for the above two functions are given below:

Calculus homework question answer, step 2, image 1
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Step 3

Values of Compositions a...

Calculus homework question answer, step 3, image 1
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Math

Calculus

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