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Questions and Answers
The inverse function of f(x) = 2x+3 is f-1(x) = (x-3)/2.
True
The inverse function undoes the original function and returns the original value.
True
The inverse function of f(x) = 2x+3 is f-1(y) = (y-3)/2.
True
When the function f turns the apple into a banana, the inverse function f-1 turns the banana back to the apple.
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The inverse function is usually denoted by adding a little '-1' after the function name.
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Study Notes
Properties of Inverse Functions
- The inverse function reverses the operation of the original function, returning the original value.
- If f(x) = 2x+3, then its inverse function f-1(x) = (x-3)/2.
- The inverse function of f(x) = 2x+3 can also be denoted as f-1(y) = (y-3)/2, using a different variable y instead of x.
Analogy for Inverse Functions
- The inverse function can be thought of as "reversing" the operation of the original function, similar to how turning an apple into a banana can be reversed to turn the banana back into an apple.
Notation for Inverse Functions
- Inverse functions are typically denoted by adding a small '-1' to the original function name, such as f-1(x) or f-1(y).
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Description
Test your understanding of inverse functions with this quiz! Explore the concept through examples and learn how to find the inverse of a function.
