What is a function?
Function Operations and Composite Functions Review

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
2.
FLASHCARD QUESTION
Front
Define composite function.
Back
A composite function is a function that is formed when one function is applied to the results of another function, denoted as (g ∘ f)(x) = g(f(x)).
3.
FLASHCARD QUESTION
Front
What is the notation for function multiplication?
Back
The notation for function multiplication is (f * g)(x) = f(x) * g(x).
4.
FLASHCARD QUESTION
Front
How do you find f(g(x))?
Back
To find f(g(x)), substitute g(x) into the function f wherever there is an x.
5.
FLASHCARD QUESTION
Front
What is the result of f(x) = x^2 and g(x) = 3x when finding g(f(x))?
Back
g(f(x)) = g(x^2) = 3(x^2) = 3x^2.
6.
FLASHCARD QUESTION
Front
Evaluate f(x) = 2x + 3 for f(4).
Back
f(4) = 2(4) + 3 = 8 + 3 = 11.
7.
FLASHCARD QUESTION
Front
What is the difference between f(x) and g(x)?
Back
f(x) and g(x) are two different functions that can be combined through operations like addition, subtraction, multiplication, or composition.
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