Functions Operations: Composition of Functions

-  “Composition of functions" simply means combining two or more functions in a way where the output from one function becomes the input for the next function.

-  The notation used for composition is: and is read
" composed with of " or " of of ".

Examples:
Example 1.  Using :
Solution: . Then:
Now find by substituting with in function.
Then: ;

Example 2.  Using and, find:
Solution: . Then: ,
Now substitute by .
Then:
Substitute with :

Example 3.  Using , find:
Solution: First, find :
Then: . Now, find by substituting with in function.