1. Operations on Functions

2. Combine like terms & put in descending order
The sum f + g
This just says that to find the sum of two functions, add them together. You should simplify by finding like terms.
Combine like terms & put in descending order

3. The difference f - g Distribute negative
To find the difference between two functions, subtract the first from the second. CAUTION: Make sure you distribute the – to each term of the second function. You should simplify by combining like terms.
Distribute negative

4. Good idea to put in descending order but not required.
The product f • g
To find the product of two functions, put parenthesis around them and multiply each term from the first function to each term of the second function.
FOIL
Good idea to put in descending order but not required.

5. COMPOSITION OF
FUNCTIONS
“SUBSTITUTING ONE FUNCTION INTO ANOTHER”

6. FOIL first and then distribute the 2
The Composition Function
This is read “f composition g” and means to copy the f function down but where ever you see an x, substitute in the g function.
FOIL first and then distribute the 2

7. You could multiply this out but since it’s to the 3rd power we won’t
This is read “g composition f” and means to copy the g function down but where ever you see an x, substitute in the f function.
You could multiply this out but since it’s to the 3rd power we won’t

8. This is read “f composition f” and means to copy the f function down but where ever you see an x, substitute in the f function. (So sub the function into itself).