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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 does it mean when functions are one-to-one?

Click to reveal answer

One-to-one means each output is produced by only one input, crucial for defining an inverse.

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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