Composition of Functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
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14 questions
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1.
FLASHCARD QUESTION
Front
What is the composition of functions?
Back
The composition of functions is a process where one function is applied to the result of another function. It is denoted as (f ° g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
2.
FLASHCARD QUESTION
Front
If f(x) = 2x + 3 and g(x) = x - 1, what is (f ° g)(2)?
Back
(f ° g)(2) = f(g(2)) = f(2 - 1) = f(1) = 2(1) + 3 = 5.
Tags
CCSS.HSF-BF.A.1C
3.
FLASHCARD QUESTION
Front
What does g(f(2)) represent?
Back
g(f(2)) represents the value of function g applied to the result of function f evaluated at x = 2.
Tags
CCSS.HSF-BF.A.1C
4.
FLASHCARD QUESTION
Front
If f(x) = x^2 and g(x) = 3x, what is (g ° f)(x)?
Back
(g ° f)(x) = g(f(x)) = g(x^2) = 3(x^2) = 3x^2.
Tags
CCSS.HSF-BF.A.1C
5.
FLASHCARD QUESTION
Front
What is the difference between f(g(x)) and g(f(x))?
Back
f(g(x)) applies g first and then f to the result, while g(f(x)) applies f first and then g to the result. They are generally not equal.
Tags
CCSS.HSF-BF.A.1C
6.
FLASHCARD QUESTION
Front
If f(x) = x + 4 and g(x) = 2x, what is (f ° g)(x)?
Back
(f ° g)(x) = f(g(x)) = f(2x) = 2x + 4.
Tags
CCSS.HSF-BF.A.1C
7.
FLASHCARD QUESTION
Front
What is the identity function?
Back
The identity function is a function that always returns the same value that was used as its input. It is denoted as I(x) = x.
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