Inverses and Composition of Functions

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the process to graph the inverse of a function?
Back
Switch the x and y coordinates and plot the new points.
2.
FLASHCARD QUESTION
Front
What is the composition of functions f(g(x))?
Back
It is the result of applying function g to x, and then applying function f to the result of g.
3.
FLASHCARD QUESTION
Front
How do you find the inverse of a function?
Back
To find the inverse, switch the x and y in the equation and solve for y.
4.
FLASHCARD QUESTION
Front
What does it mean for two functions to be inverses of each other?
Back
If f(g(x)) = x and g(f(x)) = x for all x in the domain, then f and g are inverses.
5.
FLASHCARD QUESTION
Front
What is the inverse of f(x) = x^3 - 1?
Back
f^(-1)(x) = ∛(x + 1).
6.
FLASHCARD QUESTION
Front
If f(x) = 5x and g(x) = 2x - 1, what is f(g(x))?
Back
f(g(x)) = 10x - 5.
7.
FLASHCARD QUESTION
Front
What is the value of f(g(-2)) if f(x) = 2x - 5 and g(x) = -4x - 2?
Back
f(g(-2)) = 7.
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