“Why This Inverse Shortcut Works ⚡”

Added: 2026-05-26

[00:00:00]This inverse function shortcut is easy unless you know the core concept behind it.

[00:00:06]Most students do this correctly, but for the wrong reason.

[00:00:10]They square both the sides without understanding what f inverse of 7 actually means. It's asking which input gives an output of 7.

[00:00:21]Here is the real concept. If inverse at 7 equals a, then the function at a must return 7.

[00:00:32]To solve this radical function, we need to take square on both the sides and then solve for a. We got a equal to 19 and therefore f inverse of 7 is equal to 19. Now the algebra actually makes sense. Don't just memorize the steps, know the actual reasoning behind the concept.