Composition of Two Functions then Determine the Domain

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Mathematics
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11th Grade - University
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Hard
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5 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the domain of F of G of X?
Identify the range of F of X
Substitute G of X into F of X
Differentiate F of X
Find the inverse of G of X
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for G of X in the given problem?
1 - X^2
X^2 - 1
sqrt(1 - X^2)
sqrt(X^2 - 1)
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What happens when you square the square root of a number?
It returns the original number
It doubles the number
It becomes zero
It becomes negative
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Are there any restrictions on the domain of the function 1 - X^2?
Yes, X must be between 0 and 1
No, there are no restrictions
Yes, X must be negative
Yes, X must be positive
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the domain of the composite function F of G of X?
Only positive numbers
Only integers
Only negative numbers
All real numbers
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