Inverse function

High school (ages 12+)
Mathematics & Numbers

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Date:

Step 1 · Read the article

Open the article and read it at the level above. Then answer the questions below in your own words.

https://smallwhale.org/articles/inverse-function

Write what each word means, using the article.

Do not copy the article. Write two things you learned, the way you would explain them to a friend.

Answers below are taken from the article’s stored facts, so they match what the student read.

1. What is an inverse function?An inverse function takes the output of another function and turns it back into the original input. It’s like a math undo button that reverses the first function.
2. Why does a function need to be bijective to have an inverse?A bijective function is one‑to‑one and onto, meaning every output comes from exactly one input and every possible output is used. Only then can we find a unique inverse that works for all values.

Bijective Function: A function that is both one-to-one (injective) and onto (surjective), ensuring a unique inverse exists.
Domain Restriction: Limiting the input values of a function to make it bijective, thereby enabling the definition of an inverse.
Identity Function: A function that returns its input unchanged, i.e., I(x) = x. It is the result of composing a function with its inverse.