Linear Functions And Their Slope Worksheet Page 13
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23Combination of Functions
Given 2 functions ��(��) and ��(��) we can determine:
1. Sum: ( �� + �� )( �� ) =______________________. This operation makes a _______ function by
___________ the two functions.
2. Difference: ( �� − �� )( �� ) =_________________. This operation makes a _______ function by
___________ the two functions.
3. Product: ( �� ∙ �� )( �� ) =_____________________. This operation makes a _______ function by
___________ the two functions.
��
4. Quotient: (
) ( �� ) =_____________________. This operation makes a _______ function by
��
___________ the two functions.
The domain of the new “combined” functions will be the intersection, or all values in __________, of
the domains of ��(��) and ��(��), excluding any new “bad” values created by combining the functions.
This usually occurs with the _______________ of two functions.
. Find the new combined functions and their new domain.
2
Given:
and
g x
( )
x
7
f x
( )
x
2
(
f
g x
)( )
(
f
g x
)( )
(
f g x
)( )
f
( )
x
g
Unit 3 Page 13 of 23
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