Function Inverses

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 effect 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 f(x), follow these steps: 1. Replace f(x) with y. 2. Swap x and y. 3. Solve for y. 4. Replace y with f⁻¹(x).
3.
FLASHCARD QUESTION
Front
What is the inverse of f(x) = 3x + 2?
Back
f⁻¹(x) = (x - 2) / 3.
4.
FLASHCARD QUESTION
Front
What is the inverse of f(x) = 2x - 16?
Back
f⁻¹(x) = (x + 16) / 2.
5.
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.
6.
FLASHCARD QUESTION
Front
What is the domain of the inverse function?
Back
The domain of the inverse function is the range of the original function.
7.
FLASHCARD QUESTION
Front
What is the range of the inverse function?
Back
The range of the inverse function is the domain of the original function.
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