Composing Functions: Techniques and Examples
Interactive Video
•
Mathematics
•
8th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Aiden Montgomery
Used 1+ times
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What do you replace in the function f(x) to find f(3)?
Replace 3 with f
Replace x with 3
Replace 3 with x
Replace f with 3
Tags
CCSS.HSF.IF.A.2
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the example f(g(2)), what is the first step?
Substitute 2 into f(x)
Substitute 2 into g(x)
Add 2 to g(x)
Multiply 2 by g(x)
Tags
CCSS.HSF-BF.A.1C
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of f(g(2)) if g(x) = x^2 + 1 and f(x) = 2x - 3?
5
7
10
3
Tags
CCSS.HSF-BF.A.1C
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find f(g(x)) in one step?
Multiply f(x) by g(x)
Substitute f(x) into g(x)
Substitute g(x) into f(x)
Add f(x) and g(x)
Tags
CCSS.HSF-BF.A.1C
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the formula for f(g(x)) if g(x) = x^2 + 1 and f(x) = 2x - 3?
2x^2 - 3
2x^2 + 1
2x^2 + 2
2x^2 - 1
Tags
CCSS.HSF-BF.A.1C
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the difference between f(g(x)) and g(f(x))?
They are inverses
They are different operations
They are always equal
They are the same
Tags
CCSS.HSF-BF.A.1C
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is g(f(x)) if f(x) = 2x - 3 and g(x) = x^2 + 1?
4x^2 - 12x + 1
4x^2 - 12x + 11
4x^2 - 12x + 9
4x^2 - 12x + 10
Tags
CCSS.HSF-BF.A.1C
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