Course Content
Precalculus

Explanation

An inverse function undoes what the original function does.

Example:
f(x) = x + 4
Inverse = subtract 4

Why?

  • Add 4 → subtract 4 brings you back

A function is invertible if:

  • Every output comes from only one input

Simple rule:

  • If a function can be undone, it has an inverse


Quiz: Invertible Functions

  1. What does an inverse function do?

  2. What is the inverse of adding 5?

  3. Can every function have an inverse?

  4. What must be true for a function to be invertible?

  5. True or False: An inverse reverses the original function.

Answer Key

  1. Undoes the original function

  2. Subtract 5

  3. No

  4. Each output comes from one input

  5. True

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