Composite Functions & Operations
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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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)).
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), multiply the two functions together: (f*g)(x) = f(x) * g(x).
3.
FLASHCARD QUESTION
Front
What is the formula for (f + g)(x)?
Back
The formula for (f + g)(x) is (f + g)(x) = f(x) + g(x).
4.
FLASHCARD QUESTION
Front
What is the formula for (f - g)(x)?
Back
The formula for (f - g)(x) is (f - g)(x) = f(x) - g(x).
5.
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(x): (f∘g)(x) = f(g(x)).
6.
FLASHCARD QUESTION
Front
Given f(x) = 3x^2 - 2x + 1 and g(x) = x - 4, find (f*g)(x).
Back
(f*g)(x) = 3x^3 - 14x^2 + 9x - 4.
7.
FLASHCARD QUESTION
Front
Given f(x) = -3x + 7 and g(x) = 2x^2 - 8, find g(f(x)).
Back
g(f(x)) = 18x^2 - 84x + 90.
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