How To Take the Composition of Two Functions and Find the Domain and Evaluate

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Mathematics
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11th Grade - University
•
Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does it mean to compose two functions?
To add them together
To multiply them
To substitute one into the other
To divide them
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If g(x) = x + 1 and f(x) = 3x + 2, what is the composition f(g(x))?
3x + 2
3x + 1
x + 3
3(x + 1) + 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you evaluate the composed function 3x + 5 for x = 3?
Substitute 3 into x and calculate
Add 3 to the function
Divide the function by 3
Multiply the function by 3
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of evaluating the composition f(g(3)) if f(x) = 3x + 5?
9
17
14
11
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the function 3x + 5?
Only negative numbers
Only positive numbers
All real numbers
Numbers greater than zero
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