7.6a Basic Function Operations
Integrity, purity of heart, is blooming the same colors
in the middle of the wilderness when no one sees you.
Function Operations
Given functions f ( x) and g ( x),
we can perform the following:
Addition
( f  g )( x)  f ( x)  g ( x)
Subtraction
( f  g )( x)  f ( x)  g ( x)
Multiplication
( f  g )( x)  f ( x)  g ( x)
Division
f 
f ( x)
 g  ( x)  g ( x)
 
Domain: “Which x
values are allowed?”








The x values
that are in the
domains of
both f and g
All x values
except the
ones that
make g(x)=0
Function Operations
Ex1) Let ƒ(x) = –2x + 6 and g(x) = 5x – 7.
Find f  g , f  g , f  g , and f g and their domains.
Function Operations ~ Your turn!!!
Ex2) Let f ( x)  3x  8 and g ( x)  6 x 2  7 x  5
Find f  g , f  g , f  g , and f g and their domains.
7.6a Basic Function Operations
HW: 1 – 19 all
Integrity, purity of heart, is blooming the same colors
in the middle of the wilderness when no one sees you.