Function Composition

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is function composition?
Back
Function composition is the process of applying one function to the results of another function. If f and g are two functions, the composition of f and g is denoted as (f ∘ g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
2.
FLASHCARD QUESTION
Front
How do you denote the composition of two functions f and g?
Back
The composition of two functions f and g is denoted as (f ∘ g)(x).
Tags
CCSS.HSF-BF.A.1C
3.
FLASHCARD QUESTION
Front
What is the result of f(g(x)) if f(x) = x^2 and g(x) = x + 1?
Back
The result is (g(x))^2 = (x + 1)^2 = x^2 + 2x + 1.
Tags
CCSS.HSF-BF.A.1C
4.
FLASHCARD QUESTION
Front
If f(x) = 2x and g(x) = x - 3, what is f(g(5))?
Back
f(g(5)) = f(5 - 3) = f(2) = 2 * 2 = 4.
Tags
CCSS.HSF-BF.A.1C
5.
FLASHCARD QUESTION
Front
What is the value of g(f(2)) if f(x) = x + 1 and g(x) = 3x?
Back
g(f(2)) = g(2 + 1) = g(3) = 3 * 3 = 9.
Tags
CCSS.HSF-BF.A.1C
6.
FLASHCARD QUESTION
Front
What is the domain of the composition of two functions?
Back
The domain of the composition f(g(x)) is the set of all x in the domain of g such that g(x) is in the domain of f.
Tags
CCSS.HSF-BF.A.1B
7.
FLASHCARD QUESTION
Front
If f(x) = x^2 - 1 and g(x) = 2x, what is (f ∘ g)(3)?
Back
(f ∘ g)(3) = f(g(3)) = f(2 * 3) = f(6) = 6^2 - 1 = 35.
Tags
CCSS.HSF-BF.A.1C
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