https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:verifying-inverse/v/verify-inverse-functions-from-tables 2022-10-07T00:22:18.752150461Z Verifying inverse functions from tables Inverse functions undo each other. Functions s and t are inverses if and only if s(t(x))=x and t(s(x))=x for every x-value in the domains. Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/a0748b15-0c0b-4d80-83e0-7d7a8ee48dfe_1280_720_base.png Verifying inverse functions from tables Inverse functions undo each other. Functions s and t are inverses if and only if s(t(x))=x and t(s(x))=x for every x-value in the domains. https://cdn.kastatic.org/ka-youtube-converted/UTUuyCXFAs4.mp4/UTUuyCXFAs4.mp4 272 Verifying inverse functions by composition https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:verifying-inverse/v/using-specific-values-to-test-for-inverses 2022-10-07T00:22:18.752150461Z Using specific values to test for inverses Are two functions inverses? Even one counterexample can show that they are not. How many examples would it take to show that they really are inverses? Sal Khan video https://cdn.kastatic.org/ka_thumbnails_cache/3e8faa38-1770-4468-bd5f-05f1892c27fa_1280_720_base.png Using specific values to test for inverses Are two functions inverses? Even one counterexample can show that they are not. How many examples would it take to show that they really are inverses? https://cdn.kastatic.org/ka-youtube-converted/EYv2EoEFRbo.mp4/EYv2EoEFRbo.mp4 213 Verifying inverse functions by composition https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:verifying-inverse/v/verifying-function-inverses-by-composition 2022-10-07T00:22:18.752150461Z Verifying inverse functions by composition Sal composes f(x)=(x+7)³-1 and g(x)=∛(x+1)-7, and finds that f(g(x))=g(f(x))=x, which means the functions are inverses! video https://cdn.kastatic.org/ka_thumbnails_cache/28d20992-ce4a-441e-8355-9eac46f8d813_1280_720_base.png Verifying inverse functions by composition Sal composes f(x)=(x+7)³-1 and g(x)=∛(x+1)-7, and finds that f(g(x))=g(f(x))=x, which means the functions are inverses! https://cdn.kastatic.org/ka-youtube-converted/8GEGnSEJA2s.mp4/8GEGnSEJA2s.mp4 401 Verifying inverse functions by composition https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:verifying-inverse/v/composing-non-inverse-functions 2022-10-07T00:22:18.752150461Z Verifying inverse functions by composition: not inverse Sal composes f(x)=2x-3 and g(x)=½x+3, and finds that f(g(x)) ≠ g(f(x)) ≠ x, which means the functions are not inverses. video https://cdn.kastatic.org/ka_thumbnails_cache/43938826-7235-46f2-94a0-f25070b66ed1_1280_720_base.png Verifying inverse functions by composition: not inverse Sal composes f(x)=2x-3 and g(x)=½x+3, and finds that f(g(x)) ≠ g(f(x)) ≠ x, which means the functions are not inverses. https://cdn.kastatic.org/ka-youtube-converted/PJIL0kRHND0.mp4/PJIL0kRHND0.mp4 252 Verifying inverse functions by composition https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:verifying-inverse/a/verifying-inverse-functions-by-composition 2021-06-30T17:32:36Z Verifying inverse functions by composition Learn how to verify whether two functions are inverses by composing them. For example, are f(x)=5x-7 and g(x)=x/5+7 inverse functions? article https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:verifying-inverse/e/inverses_of_functions 2025-06-25T21:21:38.768284711Z Verify inverse functions Determine whether two functions are inverses or not by composing the functions algebraically, composing them using tables, or evaluating inputs to the composition. Charlotte Auen exercise https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:verifying-inverse/a/composite-inverse-functions-faq 2022-10-26T00:13:38.755031109Z Composite and inverse functions: FAQ article