Composite & Inverse Functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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)).
Tags
CCSS.HSF-BF.A.1C
2.
FLASHCARD QUESTION
Front
What is the inverse function of a quadratic (x²)?
Back
A square root function.
Tags
CCSS.HSF-BF.B.4D
3.
FLASHCARD QUESTION
Front
What are the steps to find the inverse of a function?
Back
1. Replace f(x) with y. 2. Switch x and y. 3. Solve for y. 4. Replace y with f⁻¹(x).
Tags
CCSS.HSF-BF.B.4A
4.
FLASHCARD QUESTION
Front
If f(x) = 3x + 10, what is f(0)?
Back
f(0) = 10.
Tags
CCSS.HSF.IF.A.2
5.
FLASHCARD QUESTION
Front
If g(x) = x - 2, what is g(0)?
Back
g(0) = -2.
Tags
CCSS.HSF.IF.A.2
6.
FLASHCARD QUESTION
Front
What is (f∘g)(0) if f(x) = 3x + 10 and g(x) = x - 2?
Back
(f∘g)(0) = 4.
Tags
CCSS.HSF-BF.A.1C
7.
FLASHCARD QUESTION
Front
Are the functions f(x) = 2x and g(x) = x/2 inverses of each other?
Back
True.
Tags
CCSS.HSF-BF.B.4B
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