What is the composition of functions?
REVIEW of Operations & Composition of functions

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The composition of functions is the process of applying one function to the results of another function. If f(x) and g(x) are two functions, the composition is denoted as (f ∘ g)(x) = f(g(x)).
2.
FLASHCARD QUESTION
Front
How do you find f(g(0)) if f(x) = 3x + 10 and g(x) = x - 2?
Back
First, find g(0): g(0) = 0 - 2 = -2. Then, find f(-2): f(-2) = 3(-2) + 10 = 4.
3.
FLASHCARD QUESTION
Front
What is the value of f(g(4)) if f(x) = x^2 + x and g(x) = 3x + 1?
Back
First, find g(4): g(4) = 3(4) + 1 = 13. Then, find f(13): f(13) = 13^2 + 13 = 182.
4.
FLASHCARD QUESTION
Front
How do you evaluate q(p(-2)) if p(x) = 3x + 4 and q(x) = 2x^2?
Back
First, find p(-2): p(-2) = 3(-2) + 4 = -2. Then, find q(-2): q(-2) = 2(-2)^2 = 8.
5.
FLASHCARD QUESTION
Front
What is the result of (f - g)(2) if f(x) = 3x + 4 and g(x) = 2x^2?
Back
First, find f(2): f(2) = 3(2) + 4 = 10. Then, find g(2): g(2) = 2(2)^2 = 8. Therefore, (f - g)(2) = 10 - 8 = 2.
6.
FLASHCARD QUESTION
Front
What is the simplified form of (f/g)(x) if f(x) = 2x^2 + 12x and g(x) = x^2 - 3x - 54?
Back
7.
FLASHCARD QUESTION
Front
What is the definition of a function?
Back
A function is a relation that assigns exactly one output for each input from its domain. It can be represented as f(x), where x is the input.
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