Find f −1.f −1(x) =

To find the inverse of a function, f −1(x), you need to follow these steps:

1. Write down the function, replacing f(x) with y. For example, if your function is f(x) = 2x + 3, you would write y = 2x + 3.

2. Swap x and y. This means you replace every x in your equation with y and vice versa. Using the previous example, you would get x = 2y + 3.

3. Solve for y. This will give you the inverse function. In the example, you would subtract 3 from both sides to get x - 3 = 2y, and then divide both sides by 2 to get y = (x - 3) / 2.

4. Replace y with f −1(x) to denote the inverse function. So, the inverse function of f(x) = 2x + 3 is f −1(x) = (x - 3) / 2.

Please note that this is a general method. The specific steps may vary depending on the function you're trying to find the inverse of.