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- To find the inverse of a function, you need to switch the inputs and the outputs1. Here are the steps to follow2:
- Replace f(x) with y.
- Replace every x with a y and every y with an x.
- Solve the equation from Step 2 for y.
- Replace y with f^-1(x).
Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.- In a function, "f (x)" or "y" represents the output and "x" represents the input. To find the inverse of a function, you switch the inputs and the outputs.
www.wikihow.com/Find-the-Inverse-of-a-FunctionFinding the Inverse of a Function
- First, replace f (x) f ( x) with y y. This is done to make the rest of the process easier.
- Replace every x x with a y y and replace every y y with an x x.
- Solve the equation from Step 2 for y y. ...
tutorial.math.lamar.edu/Classes/CalcI/InverseFunct…If a function can be constructed by starting with x and performing a sequence of (reversible) operations, then its inverse can be constructed by starting with x and both reversing each operation and reversing the order of operations. Example: Suppose f (x) = 7 (x - 5)^3.www.khanacademy.org/math/algebra/x2f8bb11595…If you are trying to invert a function, one way to do it is to switch the positions of all of the variables, and resolve the function for y. The intuition works like this: We sometimes think about functions as an input and an output. For example, we take a value, called x, and that is what we put into the function.www.khanacademy.org/math/algebra/x2f8bb11595… - People also ask
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