Wednesday, March 25Wednesday, March 25
• Perform operations of functions.
• Perform composition of functions.
Notes Over 7.3Adding and Subtracting Functions
xgxf .1 x2
Let f(x) = 2 – x and g(x) = 3x. Perform the indicated operations and state the domain.
x2 x32
xgxf .2 x2
x4 x3 2
Domain: Domain:
Notes Over 7.3Adding and Subtracting Functions
xfxg .3 x3
Let f(x) = 2 – x and g(x) = 3x. Perform the indicated operations and state the domain.
x4 x 2
2
xgxg .4 x3
x6 x3
Domain: Domain:
Notes Over 7.3Multiplying and Dividing Functions
32/1 3,; .5 xxgxxfgf 2/1x
Perform the indicated operations and state the domain.
3
33x32/1 x
2/73x
Domain:
0x
Notes Over 7.3Multiplying and Dividing Functions
22,3; .6 xxgxxfgf 3x
Perform the indicated operations and state the domain.
32x
22x26x
Domain:
Notes Over 7.3Multiplying and Dividing Functions
xxgxxff
2,4;g
.7 3/2 3/24x
Perform the indicated operations and state the domain.
3/22xx2
x
Domain:2
0x
Notes Over 7.3Multiplying and Dividing Functions
xxgxxff
,17;g
.8
17 x
Perform the indicated operations and state the domain.
x
Domain:
0x
Notes Over 7.3Finding the Composite of Functions
xgf .9
2x
2 1 2
2x
Domain:
2x
Let f(x) = 2x-1 and g(x) = x – 2. Perform the indicated operations and state the domain.
Notes Over 7.3Finding the Composite of Functions
xfg .1012 x
22
x
2 Domain:
0x
Let f(x) = 2x-1 and g(x) = x – 2. Perform the indicated operations and state the domain.
Notes Over 7.3Finding the Composite of Functions
xff .1112 x
12
2x
1 2
Let f(x) = 2x-1 and g(x) = x – 2. Perform the indicated operations and state the domain.
xx
Domain:
0x
Notes Over 7.3Finding the Composite of Functions
xgg .12
2x4x
2
Let f(x) = 2x-1 and g(x) = x – 2. Perform the indicated operations and state the domain.
Domain:
Notes Over 7.3