Composition of Functions

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
Standards-aligned
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15 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
How do you find f(g(x)) for given functions f and g?
Back
To find f(g(x)), substitute g(x) into the function f. This means you take the output of g(x) and use it as the input for f.
Tags
CCSS.HSF-BF.A.1C
3.
FLASHCARD QUESTION
Front
What is the result of f(g(5)) if f(x) = 3x + 10 and g(x) = x - 2?
Back
The result is 19.
Tags
CCSS.HSF-BF.A.1C
4.
FLASHCARD QUESTION
Front
If f(x) = x - 1 and g(x) = 2x, what is g(f(x))?
Back
g(f(x)) = 2(x - 1) = 2x - 2.
Tags
CCSS.HSF-BF.A.1C
5.
FLASHCARD QUESTION
Front
How do you evaluate f(-1) if f(x) = 2x^2 + 5x - 17?
Back
Substitute -1 into the function: f(-1) = 2(-1)^2 + 5(-1) - 17 = -20.
Tags
CCSS.HSF.IF.A.2
6.
FLASHCARD QUESTION
Front
What is the composition f(g(x)) if f(x) = 5x and g(x) = 2x - 1?
Back
f(g(x)) = f(2x - 1) = 5(2x - 1) = 10x - 5.
Tags
CCSS.HSF-BF.A.1C
7.
FLASHCARD QUESTION
Front
How do you find (g∘h)(x) for g(x) = 3x + 4 and h(x) = 3x - 1?
Back
To find (g∘h)(x), substitute h(x) into g: (g∘h)(x) = g(h(x)) = g(3x - 1) = 3(3x - 1) + 4 = 9x + 1.
Tags
CCSS.HSF-BF.A.1C
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