What is function composition?
Function Operations and Compositions Review

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Function composition is the process of applying one function to the results of another function. If f(x) and g(x) are two functions, then the composition of f and g is denoted as (f ∘ g)(x) = f(g(x)).
2.
FLASHCARD QUESTION
Front
How do you evaluate a function at a specific point?
Back
To evaluate a function at a specific point, substitute the value of the variable into the function's expression and simplify.
3.
FLASHCARD QUESTION
Front
What is the result of s(r(1)) if r(x) = 5x + 2 and s(x) = x^2 - 3?
Back
The result is 4.
4.
FLASHCARD QUESTION
Front
What is the value of g(g(-6)) if g(n) = 2n + 4?
Back
The value is -12.
5.
FLASHCARD QUESTION
Front
How do you perform function operations like addition or subtraction?
Back
To perform function operations, combine the functions algebraically. For example, (f + g)(x) = f(x) + g(x).
6.
FLASHCARD QUESTION
Front
What is the value of q(p(-2)) if p(x) = 3x + 4 and q(x) = 2x^2?
Back
The value is 8.
7.
FLASHCARD QUESTION
Front
How do you find f(g(0)) if f(x) = 3x + 10 and g(x) = x - 2?
Back
The value is 4.
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