Composite Functions & Operations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is a composite function?
Back
A composite function is a function that is formed by combining two functions, 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 two functions f(x) and g(x)?
Back
To find (f - g)(x), subtract the expression of g(x) from f(x): (f - g)(x) = f(x) - g(x).
Tags
CCSS.HSF-BF.A.1B
3.
FLASHCARD QUESTION
Front
What is the formula for (f + g)(x)?
Back
The formula for (f + g)(x) is the sum of the two functions: (f + g)(x) = f(x) + g(x).
Tags
CCSS.HSF-BF.A.1B
4.
FLASHCARD QUESTION
Front
How do you evaluate (f∘g)(x)?
Back
To evaluate (f∘g)(x), first find g(x) and then substitute that result into f: (f∘g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
5.
FLASHCARD QUESTION
Front
What does g(f(x)) represent?
Back
g(f(x)) represents the function g applied to the result of the function f evaluated at x.
Tags
CCSS.HSF-BF.A.1C
6.
FLASHCARD QUESTION
Front
What is the difference between (f - g)(x) and (f + g)(x)?
Back
(f - g)(x) is the difference of the two functions, while (f + g)(x) is the sum of the two functions.
Tags
CCSS.HSF-BF.A.1B
7.
FLASHCARD QUESTION
Front
If f(x) = 3x + 10, what is f(0)?
Back
f(0) = 3(0) + 10 = 10.
Tags
CCSS.HSF.IF.A.2
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