how-to-find-the-inverse-of-a-function-kristakingmath

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The inverse of any function is its reflection over the line y=x. You can find an inverse graphically or algebraically.

Given the graph of a function, you can simply reflect it over the line y=x to sketch the inverse. Alternatively, you can find individual points on the graph of the original function, and then simply switch the x and y values in the coordinate point to finding the corresponding point on the graph of the function's inverse.

When you think about this algebraically, you can take the original function and switch the x and y values. In other words, replace every x variable with y, and replace every y variable with x. If you then solve this new function for y, you'll have the equation of the inverse function, and you can plot points to graph the inverse.

Often it's helpful to find the inverse both algebraically and graphically to make sure they match one another.

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So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student—from basic middle school classes to advanced college calculus—figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: http://www.kristakingmath.com

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