Dr. Kat Math Practice

Match Functions and Inverses

Lesson Page 3, Section 5

What you'll work on

Find the inverse of a function by reversing the operation — if the function adds, its inverse subtracts; if it subtracts, its inverse adds.

Big Idea for this lesson

$A painted illustration of two arrows in a circle — one labeled 'f(x): add 8' pointing clockwise and one labeled 'f⁻¹(x): subtract 8' pointing counterclockwise — surrounding a central x, showing that the two operations cancel each other out.$

An inverse function undoes what the original function did. If f(x) adds a number, f⁻¹(x) subtracts it. If f(x) subtracts, f⁻¹(x) adds. Apply a function and then its inverse, and you're back where you started.

6 questions · pace yourself · explanations on every answer

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