
Review - Flashcard #12 Algebra 2
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
Hard
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
If f(x) = x^2 and g(x) = 3x - 1, find f(g(x)).
Back
f(g(x)) = 9x^2 - 6x + 1.
2.
FLASHCARD QUESTION
Front
Find the inverse of f(x) = 10 + 7x.
Back
f^{-1}(x) = \frac{x - 10}{7}.
3.
FLASHCARD QUESTION
Front
Given f(x) = -3x + 7 and g(x) = 2x^2 - 8, find f(g(x)).
Back
f(g(x)) = -6x^2 + 31.
4.
FLASHCARD QUESTION
Front
If f(x) = x^2 + 9 and g(x) = x - 9, find f(x) - g(x).
Back
f(x) - g(x) = x^2 - x + 18.
5.
FLASHCARD QUESTION
Front
Find all zeros for the polynomial function P(x) = x^3 - 3x^2 - 5x + 15.
Back
Zeros: 3, \sqrt{5}, -\sqrt{5}.
6.
FLASHCARD QUESTION
Front
What is the definition of a function?
Back
A function is a relation that assigns exactly one output for each input.
7.
FLASHCARD QUESTION
Front
What is the composition of functions?
Back
The composition of functions f and g, denoted f(g(x)), is the application of g first, followed by f.
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