Asked Jan 12, 2020

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?


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
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
Step 3

Values of Compositions a...

Calculus homework question answer, step 3, image 1

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