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U2D9 Function Notation Feb4
By Ali Yasseri
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Last updated 9 months ago
40 questions
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Use a notebook to work out problems and take notes.
1
Question 1
1.
Use the defined functions to simplify each expression.
g(x) + h(x) = (2x - 3) + (4 - x) =
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Question 2
2.
Use the defined functions to simplify each expression.
j(x) - g(x) = (3x) - (2x - 3) =
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Use the defined functions to simplify each expression.
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Function Composition
Notes on inverses:
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Let:
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Question 24
24.
Use the defined functions to simplify each expression.
1
Question 25
25.
Use the defined functions to simplify each expression.
same as
1
Question 26
26.
Use the defined functions to simplify each expression.
Function Composition with Inverses
What happens if we use function composition with inverse functions?
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Question 27
27.
Use the defined functions to simplify each expression.
_______
1
Question 28
28.
Use the defined functions to simplify each expression.
_______
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Let:
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Question 3
3.
Use the defined functions to simplify each expression.
Question 4
4.
Use the defined functions to simplify each expression.
Question 5
5.
Use the defined functions to simplify each expression.
Question 6
6.
Use the defined functions to simplify each expression.
Question 7
7.
Use the defined functions to simplify each expression.
Question 8
8.
Use the defined functions to evaluate each expression.
Question 9
9.
Use the defined functions to evaluate each expression.
Question 10
10.
Use the defined functions to evaluate each expression.
Question 11
11.
Use the defined functions to evaluate each expression.
Question 12
12.
Use the defined functions to evaluate each expression.
Question 13
13.
Use the defined functions to evaluate each expression.
Question 14
14.
Use the defined functions to evaluate each expression.
Question 15
15.
Use the defined functions to evaluate each expression.
Question 16
16.
Use the defined functions to simplify each expression.
Question 17
17.
Use the defined functions to simplify each expression.
Question 18
18.
Use the defined functions to simplify each expression.
Question 19
19.
Use the defined functions to simplify each expression.
Question 20
20.
Use the defined functions to simplify each expression.
Question 21
21.
What is the inverse of k(x)?
or
Find k
-1
(x).
* Scroll down on the left to find notes on inverses.
Question 22
22.
What is the inverse of g(x)?
or
Find g
-1
(x).
* Scroll down on the left to find notes on inverses.
Question 23
23.
What is the inverse of h(x)?
or
Find h
-1
(x).
* Scroll down on the left to find notes on inverses.
Question 29
29.
Use the defined functions to simplify each expression.
_______
Question 30
30.
Use the defined functions to simplify each expression.
_______
Question 31
31.
How can we find out if W(x) is the inverse of M(x)?
Question 32
32.
Use the defined functions to simplify each expression.
Question 33
33.
Use the defined functions to simplify each expression.
Question 34
34.
Use the defined functions to simplify each expression.
Question 35
35.
Use the defined functions to simplify each expression.
Question 36
36.
Use the defined functions to simplify each expression.
Find f
-1
(x).
Question 37
37.
Use the defined functions to simplify each expression.
Find g
-1
(x).
Question 38
38.
Use the defined functions to simplify each expression.
Question 39
39.
Use the defined functions to simplify each expression.
Question 40
40.
Use the defined functions to simplify each expression.