Composite Functions & Operations

Flashcard
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
Define Composite Function.
Back
A composite function is a function that is formed by combining two functions, where the output of one function becomes the input of the other. It is denoted as (f∘g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
2.
FLASHCARD QUESTION
Front
What is the formula for adding two functions f(x) and g(x)?
Back
The formula for adding two functions is (f + g)(x) = f(x) + g(x).
Tags
CCSS.HSF-BF.A.1B
3.
FLASHCARD QUESTION
Front
What is the formula for subtracting two functions f(x) and g(x)?
Back
The formula for subtracting two functions is (f - g)(x) = f(x) - g(x).
Tags
CCSS.HSF-BF.A.1B
4.
FLASHCARD QUESTION
Front
What is the formula for multiplying two functions f(x) and g(x)?
Back
The formula for multiplying two functions is (f * g)(x) = f(x) * g(x).
Tags
CCSS.HSF-BF.A.1B
5.
FLASHCARD QUESTION
Front
What is the formula for composing two functions f(x) and g(x)?
Back
The formula for composing two functions is (f∘g)(x) = f(g(x)).
Tags
CCSS.HSF-BF.A.1C
6.
FLASHCARD QUESTION
Front
Given f(x) = 2x + 3 and g(x) = x^2, find (f + g)(x).
Back
(f + g)(x) = 2x + 3 + x^2 = x^2 + 2x + 3.
Tags
CCSS.HSF-BF.A.1B
7.
FLASHCARD QUESTION
Front
Given f(x) = x - 1 and g(x) = 4x, find (f - g)(x).
Back
(f - g)(x) = (x - 1) - (4x) = -3x - 1.
Tags
CCSS.HSF-BF.A.1B
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