In example seven, what is the composition of f(g(x))?

Exploring Inverse Functions: Part 2

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Mathematics
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8th - 12th Grade
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Lucas Foster
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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
x
x + 1
2x
x - 1
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of composing a function and its inverse?
Undefined
x
0
1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in proving two functions are inverses using composition?
Find the derivative
Solve for y
Rewrite the function
Substitute one function into the other
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is an alternative method to prove two functions are inverses?
Graphing both functions
Finding the inverse of one function
Using derivatives
Multiplying both functions
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you start finding the inverse of a function?
Interchange x and y
Integrate the function
Solve for x
Differentiate the function
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In example eight, what is the simplified form of f(g(x))?
x + 1
x
3x
x/3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What indicates that two functions are not inverses?
f(g(x)) = x
g(f(x)) = x
f(x) = g(x)
f(g(x)) ≠ x
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