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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)