Inverse Functions Quiz
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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.

<p>True</p> Signup and view all the answers

The inverse function is usually denoted by adding a little '-1' after the function name.

<p>True</p> Signup and view all the answers

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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Test your understanding of inverse functions with this quiz! Explore the concept through examples and learn how to find the inverse of a function.

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