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Exploring Inverse and Composite Functions

Algebra • Notation, vocabulary and manipulation

Key concepts

What you'll likely be quizzed about

  • An inverse function reverses the effect of a function.
  • For a function f, if f(x)=y, then the inverse function f⁻¹(y)=x.
  • The graphs of a function and its inverse are symmetrical about the line y=x.
  • This property allows for easier analysis and confirmation of a function's behavior.

Flashcards

Test your knowledge with interactive flashcards

What happens to the outputs when composing two functions?

Click to reveal answer

The output of the first function becomes the input for the second function.

Key notes

Important points to keep in mind

Inverse functions are reflected across y=x.

Always evaluate the innermost function first during composition.

Check for one-to-one properties to find inverses.

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