EOC Flashcard #3 A2B
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the composition of functions?
Back
The composition of functions, denoted as (f∘g)(x), is defined as f(g(x)). It involves applying one function to the result of another function.
2.
FLASHCARD QUESTION
Front
Given g(x)=3x+4 and h(x)=3x-1, find (g∘h)(x).
Back
(g∘h)(x) = g(h(x)) = g(3x-1) = 3(3x-1) + 4 = 9x - 3 + 4 = 9x + 1.
3.
FLASHCARD QUESTION
Front
What is the definition of an even function?
Back
A function f(x) is even if for all x in the domain, f(-x) = f(x). This means the graph is symmetric about the y-axis.
4.
FLASHCARD QUESTION
Front
What is the definition of an odd function?
Back
A function f(x) is odd if for all x in the domain, f(-x) = -f(x). This means the graph is symmetric about the origin.
5.
FLASHCARD QUESTION
Front
Given f(x) = 2x and g(x) = x^2 + 3, find f(g(x)).
Back
f(g(x)) = f(x^2 + 3) = 2(x^2 + 3) = 2x^2 + 6.
6.
FLASHCARD QUESTION
Front
What is the inverse of a function?
Back
The inverse of a function f(x) is a function f^{-1}(x) such that f(f^{-1}(x)) = x for all x in the range of f.
7.
FLASHCARD QUESTION
Front
Find the inverse of f(x) = x^3 - 5.
Back
f^{-1}(x) = oot{3}{x + 5}.
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