Composition of Functions (evaluate)

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the composition of functions?
Back
The composition of functions is a process where one function is applied to the result of another function, denoted as (f ° g)(x) = f(g(x)).
2.
FLASHCARD QUESTION
Front
How do you evaluate g(f(x))?
Back
To evaluate g(f(x)), first find the value of f(x) and then substitute that value into g.
3.
FLASHCARD QUESTION
Front
What does f(f(x)) represent?
Back
f(f(x)) represents the function f applied to the result of f(x), indicating a repeated application of the function.
4.
FLASHCARD QUESTION
Front
If f(x) = 2x + 1, what is f(3)?
Back
f(3) = 2(3) + 1 = 7.
5.
FLASHCARD QUESTION
Front
If g(x) = x^2, what is g(f(-2)) if f(-2) = -2?
Back
g(f(-2)) = g(-2) = (-2)^2 = 4.
6.
FLASHCARD QUESTION
Front
What is the notation for function composition?
Back
The notation for function composition is f ° g, which means f(g(x)).
7.
FLASHCARD QUESTION
Front
If f(x) = x + 1 and g(x) = 2x, what is (f ° g)(-1)?
Back
(f ° g)(-1) = f(g(-1)) = f(2(-1)) = f(-2) = -2 + 1 = -1.
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