What are inverse functions? Definition: These functions refer to Undo or Inverse the first act. As in tying the shoes, that would be your first step. Then, what should be the inverse function? It would be untying the shoes. Simple! In mathematical form! For the first act; Function f (x) 2x – 5. If you have x value and put it into f (x) so, what would be the status of x? You will multiple (x) by two then, subtract the answer by 5. For inverse act; What two values will you need to reverse or undo f(x)? You will require to do division & subtraction. So, the inverse would be { f(x) = 2x – 5 }. Example 1: Consider here the equation to understand the inverse function mathematically. f = {(7, 3), (8, –5), (–2, 11), (–6, 4)} -> (1). The above (1) equation is perfect in the sense that all values under a set of different pairs are unique. Also, they all do not repeat after one. Due to this reason, we can say that (f) that is the equation is surely an inverse function.

Inverse functions completely undo any action of an alternate function. Most of them are exponentially the negative exponent of a fixed function. This is present when we are trying to convert a Celsius temperature to a Fahrenheit temperature. The inverse of a Celsius temperature is equal to a Fahrenheit temperature. With this topic you will be given a set of ordered pairs and asked if another set of ordered pairs is the inverse. If the pair is properly interchanged, then you can be sure it is the inverse. Your students will use these worksheets in order to practice identifying these types of functions, as well as applying them to solve trigonometric problems. These worksheets explain how to determine the inverse of a function, of trig functions, and how to use a calculator to find these values of a function. Instructors please note: One set of activities uses calculators.