
Inverse Functions and Compositions Quiz

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard
Nancy Jackson
FREE Resource
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function algebraically?
Switch x and y
Switch f(x) with y
Solve for y
Divide by the coefficient of x
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why is it important to write functions in slope-intercept form?
To find the domain and range
To verify if they are linear functions
To make them easier to graph
To simplify calculations
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a composition of functions involve?
Multiplying two functions
Using the output of one function as the input for another
Subtracting one function from another
Adding two functions together
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you verify if two functions are inverses using compositions?
Ensure both compositions equal the identity function
Find their derivatives
Check if their graphs intersect
Compare their domains
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of the composition f(g(x)) if f and g are inverses?
0
x
g(x)
f(x)
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example where y = 4x, what is the inverse function?
y = 1/4x
y = 4x + 1
y = x/4
y = -4x
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the reciprocal of 1/2 used for in finding inverses?
To subtract from both sides
To divide both sides
To multiply both sides
To add to both sides
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