An inverse function is a function that undoes the action of another function. In other words, if you apply a function to a number and then apply its inverse to the result, you will get back to the original number. For example, if f(x) = 2x, then the inverse function would be f^(-1)(x) = x/2. Inverse functions are denoted by putting a (-1) exponent next to the function name.
To find the inverse of a function, you can follow these steps:
Find The Inverse Worksheet
- Replace f(x) with y.
- Swap x and y variables.
- Solve the resulting equation for y.
- Replace y with f^(-1)(x) to get the inverse function.
For example, if f(x) = 3x + 5, you would replace f(x) with y to get y = 3x + 5. Then, swap x and y to get x = 3y + 5. Solve for y to get y = (x – 5) / 3. Therefore, the inverse function is f^(-1)(x) = (x – 5) / 3.
Where to Find Inverse Functions Worksheets?
If you’re looking for worksheets to practice finding inverse functions, there are many online resources available. Websites like math-aids.com, kutasoftware.com, and mathworksheets4kids.com offer a variety of worksheets on inverse functions for different levels of math proficiency. These worksheets typically include problems with step-by-step solutions to help you understand the concept better.
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