Inverse Functions

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is an inverse function?
Back
An inverse function reverses the operation of the original function. If f(x) takes an input x and produces an output y, then the inverse function f-1(y) takes y back to x.
2.
FLASHCARD QUESTION
Front
How do you find the inverse of a function algebraically?
Back
To find the inverse of a function, swap the x and y in the equation and solve for y.
3.
FLASHCARD QUESTION
Front
What is the notation for an inverse function?
Back
The notation for an inverse function is f-1(x).
4.
FLASHCARD QUESTION
Front
If f(x) = 3x + 2, what is f-1(x)?
Back
f-1(x) = (x - 2)/3.
5.
FLASHCARD QUESTION
Front
What is the inverse of f(x) = x^2 (for x ≥ 0)?
Back
f-1(x) = √x.
6.
FLASHCARD QUESTION
Front
What is the relationship between a function and its inverse?
Back
A function and its inverse are reflections of each other across the line y = x.
7.
FLASHCARD QUESTION
Front
If f(x) = 5 - 2x, what is f-1(x)?
Back
f-1(x) = (5 - x)/2.
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