Function Operations

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•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is function addition?
Back
Function addition is the operation of adding two functions together. If f(x) and g(x) are two functions, then their sum is defined as (f + g)(x) = f(x) + g(x).
2.
FLASHCARD QUESTION
Front
Given f(n)=n^2+4n and g(n)=-n-5, find f(n)+g(n).
Back
f(n) + g(n) = n^2 + 4n - n - 5 = n^2 + 3n - 5.
3.
FLASHCARD QUESTION
Front
What is function composition?
Back
Function composition is the operation of applying one function to the results of another function. If f(x) and g(x) are two functions, then the composition is defined as (f ∘ g)(x) = f(g(x)).
4.
FLASHCARD QUESTION
Front
Given f(x) = x^2 + x and g(x) = 3x + 1, find f(g(4)).
Back
f(g(4)) = f(13) = 13^2 + 13 = 182.
5.
FLASHCARD QUESTION
Front
What is function multiplication?
Back
Function multiplication is the operation of multiplying two functions together. If f(x) and g(x) are two functions, then their product is defined as (f * g)(x) = f(x) * g(x).
6.
FLASHCARD QUESTION
Front
Given f(n)=2n+1 and g(n)=3n, find f(n)+g(n).
Back
f(n) + g(n) = 2n + 1 + 3n = 5n + 1.
7.
FLASHCARD QUESTION
Front
What is the difference between function addition and function multiplication?
Back
Function addition combines the outputs of two functions, while function multiplication combines the outputs by multiplying them together.
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