https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:invertible/v/determining-if-a-function-is-invertible 2023-07-18T22:48:45.033562364Z Determining if a function is invertible Learn how to build a mapping diagram for a finite function, and how to use this diagram to determine if the function is invertible. An invertible function has a one-to-one mapping between its domain and range. Functions that map multiple domain elements to the same range element are not invertible. video https://cdn.kastatic.org/ka_thumbnails_cache/f2547404-81e7-482d-b049-13297674c2ac_1280_720_base.png Determining if a function is invertible Learn how to build a mapping diagram for a finite function, and how to use this diagram to determine if the function is invertible. An invertible function has a one-to-one mapping between its domain and range. Functions that map multiple domain elements to the same range element are not invertible. https://cdn.kastatic.org/ka-youtube-converted/dqCTAHHza10.mp4/dqCTAHHza10.mp4 244 Invertible functions https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:invertible/a/intro-to-invertible-functions 2026-06-16T15:55:43.561813682Z Intro to invertible functions Not all functions have inverses. Those that do are called "invertible." Learn how we can tell whether a function is invertible or not. article https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:invertible/e/inverse-domain-range 2026-05-05T18:10:50.367167117Z Determine if a function is invertible Given the table of values of a function, determine whether it is invertible or not. Stacy Beaudoin exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:trig/x9e81a4f98389efdf:inverse-trig/v/restricting-trig-function-domain 2021-05-05T14:53:20Z Restricting domains of functions to make them invertible Sal is given the graph of a trigonometric function, and he discusses ways in which he can change the function to make it invertible. Sal Khan video https://cdn.kastatic.org/googleusercontent/oCkVpnSYRrSyQLv70yydN1Eqf4hSaC0ePtyS9lq0aBSMQRVhlyOd5ubTOpIPBb_o7KFTiqGLHUpPrkGMMu5H_T1i Restricting domains of functions to make them invertible Sal is given the graph of a trigonometric function, and he discusses ways in which he can change the function to make it invertible. https://cdn.kastatic.org/ka-youtube-converted/tCV9VyIIaw0.mp4/tCV9VyIIaw0.mp4 360 Invertible functions https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:invertible/e/restrict-the-domains-of-functions 2026-05-05T18:10:50.367167117Z Restrict domains of functions to make them invertible Given the graph of a function, find ways to restrict its domain in order to make it invertible. Tomer Gal exercise