What is an inverse function?
Inverse Functions

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Mathematics
•
9th Grade - University
•
Hard
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1.
FLASHCARD QUESTION
Front
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 is the inverse of a function denoted?
Back
The inverse of a function f(x) is denoted as f-1(x).
3.
FLASHCARD QUESTION
Front
What does it mean for two functions to be 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.
4.
FLASHCARD QUESTION
Front
What is the graphical representation of inverse functions?
Back
Inverse functions are reflected over the line y = x in a coordinate plane.
5.
FLASHCARD QUESTION
Front
What is the relationship between the domains and ranges of a function and its inverse?
Back
The domain of f(x) becomes the range of f-1(x), and the range of f(x) becomes the domain of f-1(x).
6.
FLASHCARD QUESTION
Front
What is the first step to find the inverse of a function algebraically?
Back
To find the inverse of a function, first replace f(x) with y.
7.
FLASHCARD QUESTION
Front
How do you solve for the inverse function after replacing f(x) with y?
Back
Swap x and y in the equation and then solve for y to find the inverse function.
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