3.3 Function Operations (2nd try).notebook April 07, 2015

Bell Work

1) 剹6x3y-1z5 (9x6y6z5)1/3______ .

2) 5-1/4

3.3 Function OperationsReview first- what is the domain?

Let f(x) = -6x and g(x) = 2x + 3

a. Find f(x) + g(x) and state the domain.

b. Find f(x) - g(x) and state the domain.

Domain of f(x) + g(x) consists of the x-values that are in the domains of both f and g

3.3 Function Operations (2nd try).notebook April 07, 2015

Let f(x) = 6x1/3 and g(x) = 3x1/3

a. Find f(x) + g(x) and state the domain.

b. Find f(x) - g(x) and state the domain.

Let f(x) = -2x1/2 and g(x) = 9x1/2

a. Find f(x) + g(x) and state the domain.

b. Find f(x) - g(x) and state the domain.

3.3 Function Operations (2nd try).notebook April 07, 2015

Now multiplying and dividing...

Let f(x) = 4x3 and g(x) = x - 1

a. Find f(x) g(x). State the domain.

b. Find . State the domain. f(x)g(x)

.

Domain of consists of the x- values that are in the domains of both f and g.Additionally, the domain of the quotient does not include values where the denominator =0

f(x)

g(x)g(x)

f(x)

Domain of consists of f(x) g(x) the x- values that are in the domains of both f and g.

.

Let f(x) = 3x and g(x) = 2x3/4

a. Find f(x) g(x). State the domain.

b. Find . State the domain. f(x)g(x)

.

3.3 Function Operations (2nd try).notebook April 07, 2015

Let f(x) = 3x and g(x) = x1/5

a. Find f(x) g(x). State the domain.

b. Find . State the domain. f(x)g(x)

Composition of Functions- a function of a function

Let f(x) = 3x - 2 and g(x) = x2

a. Find f(g(x))

b. Find g(f(x))

c. Find g(f(3))

3.3 Function Operations (2nd try).notebook April 07, 2015

Let f(x) = 4x-1 and g(x) = 5x - 2

a. Find f(g(x)).

b. Find g(f(x)).

c. Find f(f(x)).

Let f(x) = x-4 and g(x) = -3x2+5x

a. Find f(g(x)).

b. Find g(f(x)).

c. Find g(f(2)).

3.3 Function Operations (2nd try).notebook April 07, 2015

Assignment: p. 184 # 4, 8, 12, 16, 20, 28, 29

(State domain for problems in red)