INVERSE FUNCTIONS

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•
Mathematics
•
10th Grade
•
Hard
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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 determine if two functions are inverses of each other?
Back
Two functions f(x) and g(x) are inverses if f(g(x)) = x and g(f(x)) = x for all x in the domain.
3.
FLASHCARD QUESTION
Front
What is the inverse of the function f(x) = 2x + 4?
Back
f-1(x) = (x - 4) / 2.
4.
FLASHCARD QUESTION
Front
If f(x) passes through the point (1, 4), what point does f-1(x) pass through?
Back
f-1(x) passes through (4, 1).
5.
FLASHCARD QUESTION
Front
What is the inverse of the points (1,3), (2,4), (6,8)?
Back
The inverse points are (3,1), (4,2), (8,6).
6.
FLASHCARD QUESTION
Front
What is the graphical representation of inverse functions?
Back
The graph of an inverse function is a reflection of the original function across the line y = x.
7.
FLASHCARD QUESTION
Front
What is the relationship between the slopes of a function and its inverse?
Back
If the slope of f(x) at a point is m, then the slope of f-1(x) at the corresponding point is 1/m.
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