Function Composition and Inverses
Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Practice Problem
•
Hard
Thomas White
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What are the two functions introduced in the video?
h(x) and j(x)
g(x) and h(x)
f(x) and g(x)
f(x) and h(x)
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in finding the inverse of a function?
Add 5
Divide by 3
Switch x and y
Multiply by 2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After switching x and y, what is the next step in finding the inverse of f(x)?
Subtract 4 from both sides
Divide by 2
Cross multiply
Add 3 to both sides
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the inverse of f(x) if f(x) = (x - 3) / 4?
x + 3
x - 3
4x - 3
4x + 3
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does f(g(x)) represent in terms of functions?
The sum of f and g
The product of f and g
The composition of f and g
The difference of f and g
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find f(g(x)) if f(x) = (x - 3) / 4 and g(x) = 2x + 1?
Subtract g(x) from f(x)
Multiply f(x) by g(x)
Add f(x) and g(x)
Replace x in f(x) with 2x + 1
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of f(g(x)) when f(x) = (x - 3) / 4 and g(x) = 2x + 1?
(2x - 2) / 4
(2x + 2) / 4
(2x + 3) / 4
(2x - 3) / 4
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