Operations with Functions and Composition of Functions
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the sum of two functions f(x) and g(x)?
Back
(f + g)(x) = f(x) + g(x).
Tags
CCSS.HSF-BF.A.1B
2.
FLASHCARD QUESTION
Front
How do you find the composition of two functions g(h(x))?
Back
Substitute h(x) into g(x).
Tags
CCSS.HSF-BF.A.1C
3.
FLASHCARD QUESTION
Front
What is the definition of function composition?
Back
Function composition is the application of one function to the results of another, denoted as (f ∘ g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
4.
FLASHCARD QUESTION
Front
What is the difference between two functions f(x) and g(x)?
Back
(f - g)(x) = f(x) - g(x).
Tags
CCSS.HSF-BF.A.1B
5.
FLASHCARD QUESTION
Front
What is the product of two functions f(x) and g(x)?
Back
(f * g)(x) = f(x) * g(x).
Tags
CCSS.HSF-BF.A.1B
6.
FLASHCARD QUESTION
Front
If f(x) = 3x^2 + 7x and g(x) = 2x^2 - x - 1, find (f + g)(x).
Back
(f + g)(x) = 5x^2 + 6x - 1.
Tags
CCSS.HSF-BF.A.1B
7.
FLASHCARD QUESTION
Front
If g(x) = 3x + 4 and h(x) = 3x - 1, find g(h(x)).
Back
g(h(x)) = 9x + 1.
Tags
CCSS.HSF-BF.A.1C
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