precalc 1.4 AA
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Given g(x)= -3x and f(x)=x²+2, find g(f(x)).
Back
g(f(x))= -3x²-6
2.
FLASHCARD QUESTION
Front
Given f(x)= -3x + 7 and g(x)=2x² - 8, find g(f(x)).
Back
g(f(x))=18x²-84x + 90
3.
FLASHCARD QUESTION
Front
Given j(x) = ∛(x-1) and h(x) = x³+1, find j(h(x)).
Back
j(h(x))=x
4.
FLASHCARD QUESTION
Front
Which expression represents g(f(x)) if f(x) = 2x - 8 and g(x) = 4x?
Back
g(f(x))=8x - 32
5.
FLASHCARD QUESTION
Front
What is the composition of functions?
Back
The composition of functions is applying one function to the result of another function, denoted as (f◦g)(x) = f(g(x)).
6.
FLASHCARD QUESTION
Front
If f(x) = x² and g(x) = x + 1, what is g(f(2))?
Back
g(f(2)) = g(4) = 5.
7.
FLASHCARD QUESTION
Front
Define a function. Give an example.
Back
A function is a relation that assigns exactly one output for each input. Example: f(x) = 2x + 3.
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