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