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Quiz - Inverses & Compositions

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Last updated over 5 years ago
5 questions
40
MGSE9-12.F.BF.1c
10
MGSE9-12.F.BF.4a
10
MGSE9-12.F.BF.4a
20
MGSE9-12.F.BF.4b
20
MGSE9-12.F.BF.4b
Question 1
1.

Draggable itemarrow_right_altCorresponding Item
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Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Consider the matching expressions were created (composition) from the given functions - place the expression in the correct operation to show how two of the functions could have created it.
Addition
Subtraction
Multiplication
Division
Find the inverse of the following function

Find the inverse of the following function

If f(x) and g(x) are inverses then why is f(g(x)) = x?
Because any value of x will make both functions true.
Because f(x) and g(x) have corresponding operations that are inverses of each other which cancels each operation out.
Because any values of x will result in reciprocals.
Because they are both symmetric about the line x axis.
If f(x) and g(x) are inverses.

f(x) involves the following operations in this exact order divide by 2 , add 5

Which operations must be part of g(x)?
subtract 5 ; multiply by 2
subtract -5 ; multiply by 2
multiply by -2 ; add -5
Add -5 ; multiply by -2